34653 has 4 divisors (see below), whose sum is σ = 46208. Its totient is φ = 23100.

The previous prime is 34651. The next prime is 34667. The reversal of 34653 is 35643.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 34653 - 2^{1} = 34651 is a prime.

It is a D-number.

It is a Duffinian number.

34653 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5773 + ... + 5778.

It is an arithmetic number, because the mean of its divisors is an integer number (11552).

2^{34653} is an apocalyptic number.

It is an amenable number.

34653 is a deficient number, since it is larger than the sum of its proper divisors (11555).

34653 is a wasteful number, since it uses less digits than its factorization.

34653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554.

The product of its digits is 1080, while the sum is 21.

The square root of 34653 is about 186.1531627451. The cubic root of 34653 is about 32.6022029199.

Subtracting 34653 from its reverse (35643), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 3 and 4653, that added together give a triangular number (4656 = T_{96}).

The spelling of 34653 in words is "thirty-four thousand, six hundred fifty-three".

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