82116972 has 36 divisors (see below), whose sum is σ = 237227536. Its totient is φ = 23461920.

The previous prime is 82116929. The next prime is 82116977. The reversal of 82116972 is 27961128.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82116977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162679 + ... + 163182.

Almost surely, 2^82116972 is an apocalyptic number.

It is an amenable number.

82116972 is an abundant number, since it is smaller than the sum of its proper divisors (155110564).

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

82116972 is a wasteful number, since it uses less digits than its factorization.

82116972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325878 (or 325873 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 82116972 is about 9061.8415346992. The cubic root of 82116972 is about 434.6546287561.

The spelling of 82116972 in words is "eighty-two million, one hundred sixteen thousand, nine hundred seventy-two".