34657 has 4 divisors (see below), whose sum is σ = 39616. Its totient is φ = 29700.

The previous prime is 34651. The next prime is 34667. The reversal of 34657 is 75643.

34657 is nontrivially palindromic in base 12.

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, and also an emirpimes, since its reverse is a distinct semiprime: 75643 = 67 ⋅1129.

It is a cyclic number.

It is not a de Polignac number, because 34657 - 2³ = 34649 is a prime.

It is a super-2 number, since 2×34657² = 2402215298, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34657.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2469 + ... + 2482.

It is an arithmetic number, because the mean of its divisors is an integer number (9904).

2³⁴⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

34657 is a deficient number, since it is larger than the sum of its proper divisors (4959).

34657 is an equidigital number, since it uses as much as digits as its factorization.

34657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958.

The product of its digits is 2520, while the sum is 25.

The square root of 34657 is about 186.1639062762. The cubic root of 34657 is about 32.6034572970.

The spelling of 34657 in words is "thirty-four thousand, six hundred fifty-seven".