34956 has 18 divisors (see below), whose sum is σ = 88452. Its totient is φ = 11640.

The previous prime is 34949. The next prime is 34961. The reversal of 34956 is 65943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is an unprimeable number.

34956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 450 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2³⁴⁹⁵⁶ is an apocalyptic number.

34956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34956 is an abundant number, since it is smaller than the sum of its proper divisors (53496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34956 is a wasteful number, since it uses less digits than its factorization.

34956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 976 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 34956 is about 186.9652374106. The cubic root of 34956 is about 32.6969500284.

It can be divided in two parts, 34 and 956, that added together give a triangular number (990 = T₄₄).

The spelling of 34956 in words is "thirty-four thousand, nine hundred fifty-six".