82137972 has 48 divisors (see below), whose sum is σ = 226107392. Its totient is φ = 22710240.

The previous prime is 82137967. The next prime is 82137973. The reversal of 82137972 is 27973128.

It is a self number, because there is not a number n which added to its sum of digits gives 82137972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82137973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13168 + ... + 18375.

Almost surely, 2^82137972 is an apocalyptic number.

It is an amenable number.

82137972 is an abundant number, since it is smaller than the sum of its proper divisors (143969420).

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

82137972 is a wasteful number, since it uses less digits than its factorization.

82137972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31588 (or 31586 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 82137972 is about 9063.0001655081. Note that the first 3 decimals coincide. The cubic root of 82137972 is about 434.6916774075.

The spelling of 82137972 in words is "eighty-two million, one hundred thirty-seven thousand, nine hundred seventy-two".