18769 has 3 divisors (see below), whose sum is σ = 18907. Its totient is φ = 18632.

The previous prime is 18757. The next prime is 18773. The reversal of 18769 is 96781.

18769 = T_{136} + T_{137}.

The square root of 18769 is 137.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 96781 = 17 ⋅5693.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 7744 = 105^2 + 88^2 .

It is not a de Polignac number, because 18769 - 2^{9} = 18257 is a prime.

It is a super-2 number, since 2×18769^{2} = 704550722, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number *n* which added to its sum of digits gives 18769.

It is not an unprimeable number, because it can be changed into a prime (18719) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 69 + ... + 205.

2^{18769} is an apocalyptic number.

18769 is the 137-th square number.

18769 is the 69-th centered octagonal number.

It is an amenable number.

18769 is a deficient number, since it is larger than the sum of its proper divisors (138).

18769 is an frugal number, since it uses more digits than its factorization.

18769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The cubic root of 18769 is about 26.5754347615.

It can be divided in two parts, 187 and 69, that added together give a 8-th power (256 = 2^{8}).

The spelling of 18769 in words is "eighteen thousand, seven hundred sixty-nine".

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