83137953 has 8 divisors (see below), whose sum is σ = 111001216. Its totient is φ = 55350000.

The previous prime is 83137933. The next prime is 83137969. The reversal of 83137953 is 35973138.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83137953 - 2⁵ = 83137921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83137913) 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, 16198 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (13875152).

Almost surely, 2^83137953 is an apocalyptic number.

It is an amenable number.

83137953 is a deficient number, since it is larger than the sum of its proper divisors (27863263).

83137953 is a wasteful number, since it uses less digits than its factorization.

83137953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37655.

The product of its digits is 68040, while the sum is 39.

The square root of 83137953 is about 9118.0015902609. The cubic root of 83137953 is about 436.4486043545.

The spelling of 83137953 in words is "eighty-three million, one hundred thirty-seven thousand, nine hundred fifty-three".