312967 has 2 divisors, whose sum is σ = 312968. Its totient is φ = 312966.

The previous prime is 312943. The next prime is 312971. The reversal of 312967 is 769213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312967 - 2⁷ = 312839 is a prime.

It is a Chen prime.

It is an Ulam number.

312967 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156483 + 156484.

It is an arithmetic number, because the mean of its divisors is an integer number (156484).

2³¹²⁹⁶⁷ is an apocalyptic number.

312967 is a deficient number, since it is larger than the sum of its proper divisors (1).

312967 is an equidigital number, since it uses as much as digits as its factorization.

312967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 28.

The square root of 312967 is about 559.4345359379. The cubic root of 312967 is about 67.8942271376.

The spelling of 312967 in words is "three hundred twelve thousand, nine hundred sixty-seven".