83167137 has 12 divisors (see below), whose sum is σ = 121321044. Its totient is φ = 54895200.

The previous prime is 83167129. The next prime is 83167151. The reversal of 83167137 is 73176138.

It can be written as a sum of positive squares in 2 ways, for example, as 81162081 + 2005056 = 9009^2 + 1416^2 .

It is not a de Polignac number, because 83167137 - 2³ = 83167129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83167177) 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 11 ways as a sum of consecutive naturals, for example, 44838 + ... + 46655.

It is an arithmetic number, because the mean of its divisors is an integer number (10110087).

Almost surely, 2^83167137 is an apocalyptic number.

It is an amenable number.

83167137 is a deficient number, since it is larger than the sum of its proper divisors (38153907).

83167137 is a wasteful number, since it uses less digits than its factorization.

83167137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91600 (or 91597 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 83167137 is about 9119.6018005174. The cubic root of 83167137 is about 436.4996673789.

Subtracting from 83167137 its reverse (73176138), we obtain a palindrome (9990999).

The spelling of 83167137 in words is "eighty-three million, one hundred sixty-seven thousand, one hundred thirty-seven".