312677 has 2 divisors, whose sum is σ = 312678. Its totient is φ = 312676.

The previous prime is 312673. The next prime is 312679. The reversal of 312677 is 776213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312481 + 196 = 559^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 312677 - 2² = 312673 is a prime.

Together with 312679, it forms a pair of twin primes.

It is a Chen prime.

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 312677.

It is not a weakly prime, because it can be changed into another prime (312673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156338 + 156339.

It is an arithmetic number, because the mean of its divisors is an integer number (156339).

2³¹²⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

312677 is a deficient number, since it is larger than the sum of its proper divisors (1).

312677 is an equidigital number, since it uses as much as digits as its factorization.

312677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 26.

The square root of 312677 is about 559.1752855769. The cubic root of 312677 is about 67.8732500479.

It can be divided in two parts, 312 and 677, that added together give a palindrome (989).

The spelling of 312677 in words is "three hundred twelve thousand, six hundred seventy-seven".