83137984 has 28 divisors (see below), whose sum is σ = 165332664. Its totient is φ = 41479424.

The previous prime is 83137981. The next prime is 83137993. The reversal of 83137984 is 48973138.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83137984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83137981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36462 + ... + 38674.

It is an arithmetic number, because the mean of its divisors is an integer number (5904738).

Almost surely, 2^83137984 is an apocalyptic number.

It is an amenable number.

83137984 is a deficient number, since it is larger than the sum of its proper divisors (82194680).

83137984 is a wasteful number, since it uses less digits than its factorization.

83137984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2802 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 83137984 is about 9118.0032901946. The cubic root of 83137984 is about 436.4486586013.

The spelling of 83137984 in words is "eighty-three million, one hundred thirty-seven thousand, nine hundred eighty-four".