83972837 has 16 divisors (see below), whose sum is σ = 96096000. Its totient is φ = 72736704.

The previous prime is 83972821. The next prime is 83972857. The reversal of 83972837 is 73827938.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 83972837 - 2⁴ = 83972821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83972791 and 83972800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83972807) 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 15 ways as a sum of consecutive naturals, for example, 25364 + ... + 28482.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2^83972837 is an apocalyptic number.

It is an amenable number.

83972837 is a deficient number, since it is larger than the sum of its proper divisors (12123163).

83972837 is a wasteful number, since it uses less digits than its factorization.

83972837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260.

The product of its digits is 508032, while the sum is 47.

The square root of 83972837 is about 9163.6694069570. The cubic root of 83972837 is about 437.9047022017.

The spelling of 83972837 in words is "eighty-three million, nine hundred seventy-two thousand, eight hundred thirty-seven".