82712137 has 2 divisors, whose sum is σ = 82712138. Its totient is φ = 82712136.

The previous prime is 82712107. The next prime is 82712167. The reversal of 82712137 is 73121728.

It is a balanced prime because it is at equal distance from previous prime (82712107) and next prime (82712167).

It can be written as a sum of positive squares in only one way, i.e., 57471561 + 25240576 = 7581^2 + 5024^2 .

It is a cyclic number.

It is not a de Polignac number, because 82712137 - 2¹⁵ = 82679369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82712099 and 82712108.

It is not a weakly prime, because it can be changed into another prime (82712107) 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 as a sum of consecutive naturals, namely, 41356068 + 41356069.

It is an arithmetic number, because the mean of its divisors is an integer number (41356069).

Almost surely, 2^82712137 is an apocalyptic number.

It is an amenable number.

82712137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82712137 is an equidigital number, since it uses as much as digits as its factorization.

82712137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 31.

The square root of 82712137 is about 9094.6213225181. The cubic root of 82712137 is about 435.7021943689.

The spelling of 82712137 in words is "eighty-two million, seven hundred twelve thousand, one hundred thirty-seven".