82372962 has 32 divisors (see below), whose sum is σ = 189775872. Its totient is φ = 23348304.

The previous prime is 82372957. The next prime is 82372967. The reversal of 82372962 is 26927328.

It is an interprime number because it is at equal distance from previous prime (82372957) and next prime (82372967).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 82372962.

It is not an unprimeable number, because it can be changed into a prime (82372967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2388 + ... + 13055.

It is an arithmetic number, because the mean of its divisors is an integer number (5930496).

Almost surely, 2^82372962 is an apocalyptic number.

82372962 is an abundant number, since it is smaller than the sum of its proper divisors (107402910).

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

82372962 is a wasteful number, since it uses less digits than its factorization.

82372962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582.

The product of its digits is 72576, while the sum is 39.

The square root of 82372962 is about 9075.9551563458. The cubic root of 82372962 is about 435.1058217908.

The spelling of 82372962 in words is "eighty-two million, three hundred seventy-two thousand, nine hundred sixty-two".