902967 has 16 divisors (see below), whose sum is σ = 1313760. Its totient is φ = 551616.

The previous prime is 902963. The next prime is 902971. The reversal of 902967 is 769209.

902967 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (902963) and next prime (902971).

It is not a de Polignac number, because 902967 - 2² = 902963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902963) 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 15 ways as a sum of consecutive naturals, for example, 6523 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (82110).

2⁹⁰²⁹⁶⁷ is an apocalyptic number.

902967 is a deficient number, since it is larger than the sum of its proper divisors (410793).

902967 is a wasteful number, since it uses less digits than its factorization.

902967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 902967 is about 950.2457576859. The cubic root of 902967 is about 96.6549186410.

The spelling of 902967 in words is "nine hundred two thousand, nine hundred sixty-seven".