82976137 has 2 divisors, whose sum is σ = 82976138. Its totient is φ = 82976136.

The previous prime is 82976129. The next prime is 82976143. The reversal of 82976137 is 73167928.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81378441 + 1597696 = 9021^2 + 1264^2 .

It is a cyclic number.

It is not a de Polignac number, because 82976137 - 2³ = 82976129 is a prime.

It is a super-2 number, since 2×82976137² = 13770078622885538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82976093 and 82976102.

It is not a weakly prime, because it can be changed into another prime (82976177) 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, 41488068 + 41488069.

It is an arithmetic number, because the mean of its divisors is an integer number (41488069).

Almost surely, 2^82976137 is an apocalyptic number.

It is an amenable number.

82976137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82976137 is an equidigital number, since it uses as much as digits as its factorization.

82976137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 43.

The square root of 82976137 is about 9109.1238327295. The cubic root of 82976137 is about 436.1652590854.

The spelling of 82976137 in words is "eighty-two million, nine hundred seventy-six thousand, one hundred thirty-seven".