3331167 has 48 divisors (see below), whose sum is σ = 5778432. Its totient is φ = 1693440.

The previous prime is 3331157. The next prime is 3331169. The reversal of 3331167 is 7611333.

It is not a de Polignac number, because 3331167 - 2⁴ = 3331151 is a prime.

It is a super-2 number, since 2×3331167² = 22193347163778, which contains 22 as substring.

3331167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77448 + ... + 77490.

It is an arithmetic number, because the mean of its divisors is an integer number (120384).

Almost surely, 2^3331167 is an apocalyptic number.

3331167 is a deficient number, since it is larger than the sum of its proper divisors (2447265).

3331167 is a wasteful number, since it uses less digits than its factorization.

3331167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its digits is 1134, while the sum is 24.

The square root of 3331167 is about 1825.1484871100. The cubic root of 3331167 is about 149.3477904840.

The spelling of 3331167 in words is "three million, three hundred thirty-one thousand, one hundred sixty-seven".