313677 has 24 divisors (see below), whose sum is σ = 559104. Its totient is φ = 165024.

The previous prime is 313669. The next prime is 313679. The reversal of 313677 is 776313.

It is not a de Polignac number, because 313677 - 2³ = 313669 is a prime.

313677 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 313677.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313677.

It is not an unprimeable number, because it can be changed into a prime (313679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (23296).

2³¹³⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

313677 is a deficient number, since it is larger than the sum of its proper divisors (245427).

313677 is a wasteful number, since it uses less digits than its factorization.

313677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 406 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 313677 is about 560.0687457804. The cubic root of 313677 is about 67.9455301977.

It can be divided in two parts, 313 and 677, that added together give a triangular number (990 = T₄₄).

The spelling of 313677 in words is "three hundred thirteen thousand, six hundred seventy-seven".