677313 has 24 divisors (see below), whose sum is σ = 1205568. Its totient is φ = 356832.

The previous prime is 677311. The next prime is 677321. The reversal of 677313 is 313776.

It is not a de Polignac number, because 677313 - 2¹ = 677311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677311) 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, 406 + ... + 1232.

It is an arithmetic number, because the mean of its divisors is an integer number (50232).

2⁶⁷⁷³¹³ is an apocalyptic number.

677313 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

677313 is a deficient number, since it is larger than the sum of its proper divisors (528255).

677313 is a wasteful number, since it uses less digits than its factorization.

677313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 850 counting only the distinct ones).

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

The square root of 677313 is about 822.9902794080. The cubic root of 677313 is about 87.8206142584.

It can be divided in two parts, 6773 and 13, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 677313 in words is "six hundred seventy-seven thousand, three hundred thirteen".