331167 has 8 divisors (see below), whose sum is σ = 449280. Its totient is φ = 216920.

The previous prime is 331159. The next prime is 331171. The reversal of 331167 is 761133.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331167 - 2³ = 331159 is a 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 331167.

It is not an unprimeable number, because it can be changed into a prime (331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

2³³¹¹⁶⁷ is an apocalyptic number.

331167 is a deficient number, since it is larger than the sum of its proper divisors (118113).

331167 is a wasteful number, since it uses less digits than its factorization.

331167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933.

The product of its digits is 378, while the sum is 21.

The square root of 331167 is about 575.4711113514. The cubic root of 331167 is about 69.1855956966.

The spelling of 331167 in words is "three hundred thirty-one thousand, one hundred sixty-seven".