77977013 has 2 divisors, whose sum is σ = 77977014. Its totient is φ = 77977012.

The previous prime is 77977001. The next prime is 77977037. The reversal of 77977013 is 31077977.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46144849 + 31832164 = 6793^2 + 5642^2 .

It is a cyclic number.

It is not a de Polignac number, because 77977013 - 2¹⁸ = 77714869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77977073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38988506 + 38988507.

It is an arithmetic number, because the mean of its divisors is an integer number (38988507).

Almost surely, 2^77977013 is an apocalyptic number.

It is an amenable number.

77977013 is a deficient number, since it is larger than the sum of its proper divisors (1).

77977013 is an equidigital number, since it uses as much as digits as its factorization.

77977013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64827, while the sum is 41.

The square root of 77977013 is about 8830.4593878235. The cubic root of 77977013 is about 427.2238915651.

The spelling of 77977013 in words is "seventy-seven million, nine hundred seventy-seven thousand, thirteen".