35624 has 16 divisors (see below), whose sum is σ = 68820. Its totient is φ = 17280.

The previous prime is 35617. The next prime is 35671. The reversal of 35624 is 42653.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 2500 = 182^2 + 50^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35596 and 35605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452 + ... + 524.

2³⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

35624 is a deficient number, since it is larger than the sum of its proper divisors (33196).

35624 is a wasteful number, since it uses less digits than its factorization.

35624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 35624 is about 188.7432117985. The cubic root of 35624 is about 32.9039139476.

The spelling of 35624 in words is "thirty-five thousand, six hundred twenty-four".