83037972 has 24 divisors (see below), whose sum is σ = 193912992. Its totient is φ = 27656800.

The previous prime is 83037967. The next prime is 83037973. The reversal of 83037972 is 27973038.

It is a self number, because there is not a number n which added to its sum of digits gives 83037972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83037973) 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 7 ways as a sum of consecutive naturals, for example, 19822 + ... + 23642.

It is an arithmetic number, because the mean of its divisors is an integer number (8079708).

Almost surely, 2^83037972 is an apocalyptic number.

It is an amenable number.

83037972 is an abundant number, since it is smaller than the sum of its proper divisors (110875020).

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

83037972 is a wasteful number, since it uses less digits than its factorization.

83037972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 83037972 is about 9112.5173250864. The cubic root of 83037972 is about 436.2735777056.

The spelling of 83037972 in words is "eighty-three million, thirty-seven thousand, nine hundred seventy-two".