83302137 has 24 divisors (see below), whose sum is σ = 129615200. Its totient is φ = 51383808.

The previous prime is 83302127. The next prime is 83302157. The reversal of 83302137 is 73120338.

It is not a de Polignac number, because 83302137 - 2¹⁴ = 83285753 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83302137.

It is not an unprimeable number, because it can be changed into a prime (83302127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689 + ... + 13017.

Almost surely, 2^83302137 is an apocalyptic number.

It is an amenable number.

83302137 is a deficient number, since it is larger than the sum of its proper divisors (46313063).

83302137 is a wasteful number, since it uses less digits than its factorization.

83302137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 83302137 is about 9127.0004382601. Note that the first 3 decimals coincide. The cubic root of 83302137 is about 436.7357205506.

The spelling of 83302137 in words is "eighty-three million, three hundred two thousand, one hundred thirty-seven".