76972657 has 2 divisors, whose sum is σ = 76972658. Its totient is φ = 76972656.

The previous prime is 76972633. The next prime is 76972661. The reversal of 76972657 is 75627967.

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., 55219761 + 21752896 = 7431^2 + 4664^2 .

It is a cyclic number.

It is not a de Polignac number, because 76972657 - 2¹⁹ = 76448369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76972657.

It is not a weakly prime, because it can be changed into another prime (76972627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38486328 + 38486329.

It is an arithmetic number, because the mean of its divisors is an integer number (38486329).

Almost surely, 2^76972657 is an apocalyptic number.

It is an amenable number.

76972657 is a deficient number, since it is larger than the sum of its proper divisors (1).

76972657 is an equidigital number, since it uses as much as digits as its factorization.

76972657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1111320, while the sum is 49.

The square root of 76972657 is about 8773.4062370325. The cubic root of 76972657 is about 425.3817230191.

The spelling of 76972657 in words is "seventy-six million, nine hundred seventy-two thousand, six hundred fifty-seven".