331967 has 2 divisors, whose sum is σ = 331968. Its totient is φ = 331966.

The previous prime is 331957. The next prime is 331973. The reversal of 331967 is 769133.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 331967 - 2⁸ = 331711 is a prime.

It is a super-2 number, since 2×331967² = 220404178178, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 9.

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 331967.

It is not a weakly prime, because it can be changed into another prime (331907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165983 + 165984.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

2³³¹⁹⁶⁷ is an apocalyptic number.

331967 is a deficient number, since it is larger than the sum of its proper divisors (1).

331967 is an equidigital number, since it uses as much as digits as its factorization.

331967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 29.

The square root of 331967 is about 576.1657747558. The cubic root of 331967 is about 69.2412614361.

The spelling of 331967 in words is "three hundred thirty-one thousand, nine hundred sixty-seven".