166524 has 12 divisors (see below), whose sum is σ = 388584. Its totient is φ = 55504.

The previous prime is 166487. The next prime is 166541. The reversal of 166524 is 425661.

166524 = 132² + 133² + ... + 140².

166524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 166494 and 166503.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166524.

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, 6927 + ... + 6950.

It is an arithmetic number, because the mean of its divisors is an integer number (32382).

2¹⁶⁶⁵²⁴ is an apocalyptic number.

It is an amenable number.

166524 is an abundant number, since it is smaller than the sum of its proper divisors (222060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166524 is a wasteful number, since it uses less digits than its factorization.

166524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13884 (or 13882 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 166524 is about 408.0735227873. The cubic root of 166524 is about 55.0164138339.

The spelling of 166524 in words is "one hundred sixty-six thousand, five hundred twenty-four".