77031257 has 2 divisors, whose sum is σ = 77031258. Its totient is φ = 77031256.

The previous prime is 77031223. The next prime is 77031271. The reversal of 77031257 is 75213077.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72318016 + 4713241 = 8504^2 + 2171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77031257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77031277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38515628 + 38515629.

It is an arithmetic number, because the mean of its divisors is an integer number (38515629).

Almost surely, 2^77031257 is an apocalyptic number.

It is an amenable number.

77031257 is a deficient number, since it is larger than the sum of its proper divisors (1).

77031257 is an equidigital number, since it uses as much as digits as its factorization.

77031257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 77031257 is about 8776.7452395521. The cubic root of 77031257 is about 425.4896446578.

The spelling of 77031257 in words is "seventy-seven million, thirty-one thousand, two hundred fifty-seven".