522972 has 36 divisors (see below), whose sum is σ = 1346800. Its totient is φ = 171072.

The previous prime is 522961. The next prime is 522989. The reversal of 522972 is 279225.

It is a happy number.

522972 is digitally balanced in base 3, 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 (36).

It is a nialpdrome in base 14.

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 522972.

It is an unprimeable number.

522972 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 in 11 ways as a sum of consecutive naturals, for example, 2529 + ... + 2727.

2⁵²²⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673400).

522972 is an abundant number, since it is smaller than the sum of its proper divisors (823828).

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

522972 is a wasteful number, since it uses less digits than its factorization.

522972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 522972 is about 723.1680302668. The cubic root of 522972 is about 80.5674241904.

The spelling of 522972 in words is "five hundred twenty-two thousand, nine hundred seventy-two".