34864 has 10 divisors (see below), whose sum is σ = 67580. Its totient is φ = 17424.

The previous prime is 34849. The next prime is 34871. The reversal of 34864 is 46843.

It is a nialpdrome in base 16.

It is an unprimeable number.

34864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (6758).

2³⁴⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

34864 is a deficient number, since it is larger than the sum of its proper divisors (32716).

34864 is a wasteful number, since it uses less digits than its factorization.

34864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 34864 is about 186.7190402717. The cubic root of 34864 is about 32.6682400094.

It can be divided in two parts, 34 and 864, that added together give a palindrome (898).

The spelling of 34864 in words is "thirty-four thousand, eight hundred sixty-four".