34905 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 17088.

The previous prime is 34897. The next prime is 34913. The reversal of 34905 is 50943.

It is an interprime number because it is at equal distance from previous prime (34897) and next prime (34913).

It is not a de Polignac number, because 34905 - 2³ = 34897 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³⁴⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

34905 is a deficient number, since it is larger than the sum of its proper divisors (25575).

34905 is a wasteful number, since it uses less digits than its factorization.

34905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 34905 is about 186.8287986366. The cubic root of 34905 is about 32.6810409228.

It can be divided in two parts, 34 and 905, that added together give a palindrome (939).

The spelling of 34905 in words is "thirty-four thousand, nine hundred five".