313077636 has 45 divisors (see below), whose sum is σ = 819280231. Its totient is φ = 104253048.

The previous prime is 313077617. The next prime is 313077637. The reversal of 313077636 is 636770313.

The square root of 313077636 is 17694.

It is a perfect power (a square), and thus also a powerful number.

313077636 is a `hidden beast` number, since 3 + 13 + 0 + 7 + 7 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313077636.

It is not an unprimeable number, because it can be changed into a prime (313077637) 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 14 ways as a sum of consecutive naturals, for example, 318001 + ... + 318983.

Almost surely, 2^313077636 is an apocalyptic number.

313077636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

313077636 is the 17694-th square number.

It is an amenable number.

313077636 is an abundant number, since it is smaller than the sum of its proper divisors (506202595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313077636 is an frugal number, since it uses more digits than its factorization.

313077636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The cubic root of 313077636 is about 679.0222655470.

Multiplying 313077636 by its sum of digits (36), we get a square (11270794896 = 106164²).

313077636 divided by its sum of digits (36) gives a square (8696601 = 2949²).

The spelling of 313077636 in words is "three hundred thirteen million, seventy-seven thousand, six hundred thirty-six".