82233972 has 18 divisors (see below), whose sum is σ = 207869298. Its totient is φ = 27411312.

The previous prime is 82233967. The next prime is 82234001. The reversal of 82233972 is 27933228.

It can be written as a sum of positive squares in only one way, i.e., 82192356 + 41616 = 9066^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2284277 = 82233972 / (8 + 2 + 2 + 3 + 3 + 9 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1142103 + ... + 1142174.

Almost surely, 2^82233972 is an apocalyptic number.

It is an amenable number.

82233972 is an abundant number, since it is smaller than the sum of its proper divisors (125635326).

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

82233972 is a wasteful number, since it uses less digits than its factorization.

82233972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284287 (or 2284282 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 82233972 is about 9068.2948783109. The cubic root of 82233972 is about 434.8609623026.

The spelling of 82233972 in words is "eighty-two million, two hundred thirty-three thousand, nine hundred seventy-two".