83712137 has 2 divisors, whose sum is σ = 83712138. Its totient is φ = 83712136.

The previous prime is 83712107. The next prime is 83712143. The reversal of 83712137 is 73121738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60777616 + 22934521 = 7796^2 + 4789^2 .

It is a cyclic number.

It is not a de Polignac number, because 83712137 - 2¹⁰ = 83711113 is a prime.

It is a super-2 number, since 2×83712137² = 14015443762213538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83712107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41856068 + 41856069.

It is an arithmetic number, because the mean of its divisors is an integer number (41856069).

Almost surely, 2^83712137 is an apocalyptic number.

It is an amenable number.

83712137 is a deficient number, since it is larger than the sum of its proper divisors (1).

83712137 is an equidigital number, since it uses as much as digits as its factorization.

83712137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056, while the sum is 32.

The square root of 83712137 is about 9149.4336983225. The cubic root of 83712137 is about 437.4510630433.

The spelling of 83712137 in words is "eighty-three million, seven hundred twelve thousand, one hundred thirty-seven".