77130913 has 2 divisors, whose sum is σ = 77130914. Its totient is φ = 77130912.

The previous prime is 77130817. The next prime is 77130919. The reversal of 77130913 is 31903177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75550864 + 1580049 = 8692^2 + 1257^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77130913 is a prime.

It is equal to p_4511749 and since 77130913 and 4511749 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (77130919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38565456 + 38565457.

It is an arithmetic number, because the mean of its divisors is an integer number (38565457).

Almost surely, 2^77130913 is an apocalyptic number.

It is an amenable number.

77130913 is a deficient number, since it is larger than the sum of its proper divisors (1).

77130913 is an equidigital number, since it uses as much as digits as its factorization.

77130913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 77130913 is about 8782.4206799720. The cubic root of 77130913 is about 425.6730521267.

It can be divided in two parts, 771 and 30913, that added together give a square (31684 = 178²).

The spelling of 77130913 in words is "seventy-seven million, one hundred thirty thousand, nine hundred thirteen".