77985313 has 12 divisors (see below), whose sum is σ = 92432340. Its totient is φ = 65581152.

The previous prime is 77985301. The next prime is 77985319. The reversal of 77985313 is 31358977.

It can be written as a sum of positive squares in 2 ways, for example, as 69505569 + 8479744 = 8337^2 + 2912^2 .

It is a de Polignac number, because none of the positive numbers 2^k-77985313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77985313.

It is not an unprimeable number, because it can be changed into a prime (77985319) 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 in 11 ways as a sum of consecutive naturals, for example, 12418 + ... + 17611.

It is an arithmetic number, because the mean of its divisors is an integer number (7702695).

Almost surely, 2^77985313 is an apocalyptic number.

It is an amenable number.

77985313 is a deficient number, since it is larger than the sum of its proper divisors (14447027).

77985313 is a wasteful number, since it uses less digits than its factorization.

77985313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30096 (or 30089 counting only the distinct ones).

The product of its digits is 158760, while the sum is 43.

The square root of 77985313 is about 8830.9293395429. The cubic root of 77985313 is about 427.2390491625.

The spelling of 77985313 in words is "seventy-seven million, nine hundred eighty-five thousand, three hundred thirteen".