34856 has 8 divisors (see below), whose sum is σ = 65370. Its totient is φ = 17424.

The previous prime is 34849. The next prime is 34871. The reversal of 34856 is 65843.

It can be written as a sum of positive squares in only one way, i.e., 17956 + 16900 = 134^2 + 130^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34856.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2171 + ... + 2186.

2³⁴⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

34856 is a deficient number, since it is larger than the sum of its proper divisors (30514).

34856 is a wasteful number, since it uses less digits than its factorization.

34856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4359 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 34856 is about 186.6976164818. The cubic root of 34856 is about 32.6657411002.

It can be divided in two parts, 3485 and 6, that multiplied together give a triangular number (20910 = T₂₀₄).

The spelling of 34856 in words is "thirty-four thousand, eight hundred fifty-six".