34564 has 6 divisors (see below), whose sum is σ = 60494. Its totient is φ = 17280.

The previous prime is 34549. The next prime is 34583. The reversal of 34564 is 46543.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 14400 = 142^2 + 120^2 .

It is an unprimeable 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 as a sum of consecutive naturals, namely, 4317 + ... + 4324.

2³⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

34564 is a deficient number, since it is larger than the sum of its proper divisors (25930).

34564 is a wasteful number, since it uses less digits than its factorization.

34564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8643 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 34564 is about 185.9139585938. The cubic root of 34564 is about 32.5742680255.

Subtracting from 34564 its product of digits (1440), we obtain a square (33124 = 182²).

It can be divided in two parts, 3456 and 4, that multiplied together give a cube (13824 = 24³).

The spelling of 34564 in words is "thirty-four thousand, five hundred sixty-four".