83137924 has 27 divisors (see below), whose sum is σ = 150201093. Its totient is φ = 40265088.

The previous prime is 83137921. The next prime is 83137931. The reversal of 83137924 is 42973138.

The square root of 83137924 is 9118.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37332100 + 45805824 = 6110^2 + 6768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83137921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 857044 + ... + 857140.

Almost surely, 2^83137924 is an apocalyptic number.

83137924 is the 9118-th square number.

It is an amenable number.

83137924 is a deficient number, since it is larger than the sum of its proper divisors (67063169).

83137924 is an equidigital number, since it uses as much as digits as its factorization.

83137924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The cubic root of 83137924 is about 436.4485536075.

The spelling of 83137924 in words is "eighty-three million, one hundred thirty-seven thousand, nine hundred twenty-four".