82972 has 6 divisors (see below), whose sum is σ = 145208. Its totient is φ = 41484.

The previous prime is 82963. The next prime is 82981. The reversal of 82972 is 27928.

It is an interprime number because it is at equal distance from previous prime (82963) and next prime (82981).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 82972.

It is a congruent number.

It is an unprimeable number.

82972 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 as a sum of consecutive naturals, namely, 10368 + ... + 10375.

2⁸²⁹⁷² is an apocalyptic number.

It is an amenable number.

82972 is a deficient number, since it is larger than the sum of its proper divisors (62236).

82972 is a wasteful number, since it uses less digits than its factorization.

82972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20747 (or 20745 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 82972 is about 288.0486070093. The cubic root of 82972 is about 43.6158010232.

Subtracting from 82972 its sum of digits (28), we obtain a square (82944 = 288²).

The spelling of 82972 in words is "eighty-two thousand, nine hundred seventy-two".