34957 has 4 divisors (see below), whose sum is σ = 37660. Its totient is φ = 32256.

The previous prime is 34949. The next prime is 34961. The reversal of 34957 is 75943.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 32041 = 54^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 34957 - 2³ = 34949 is a prime.

It is a Duffinian number.

34957 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34057) 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, 1332 + ... + 1357.

It is an arithmetic number, because the mean of its divisors is an integer number (9415).

2³⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

34957 is a deficient number, since it is larger than the sum of its proper divisors (2703).

34957 is a wasteful number, since it uses less digits than its factorization.

34957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702.

The product of its digits is 3780, while the sum is 28.

The square root of 34957 is about 186.9679116854. The cubic root of 34957 is about 32.6972618169.

It can be divided in two parts, 349 and 57, that added together give a triangular number (406 = T₂₈).

The spelling of 34957 in words is "thirty-four thousand, nine hundred fifty-seven".