972852 has 12 divisors (see below), whose sum is σ = 2270016. Its totient is φ = 324280.

The previous prime is 972847. The next prime is 972869. The reversal of 972852 is 258279.

972852 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 congruent number.

It is an unprimeable number.

972852 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 3 ways as a sum of consecutive naturals, for example, 40524 + ... + 40547.

It is an arithmetic number, because the mean of its divisors is an integer number (189168).

2⁹⁷²⁸⁵² is an apocalyptic number.

It is an amenable number.

972852 is an abundant number, since it is smaller than the sum of its proper divisors (1297164).

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

972852 is a wasteful number, since it uses less digits than its factorization.

972852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81078 (or 81076 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 972852 is about 986.3326011037. The cubic root of 972852 is about 99.0867518335.

The spelling of 972852 in words is "nine hundred seventy-two thousand, eight hundred fifty-two".