2965167 has 10 divisors (see below), whose sum is σ = 4429568. Its totient is φ = 1976724.

The previous prime is 2965153. The next prime is 2965177. The reversal of 2965167 is 7615692.

It is not a de Polignac number, because 2965167 - 2¹⁴ = 2948783 is a prime.

It is a Duffinian number.

2965167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965117) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18223 + ... + 18384.

2^2965167 is an apocalyptic number.

2965167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2965167 is a deficient number, since it is larger than the sum of its proper divisors (1464401).

2965167 is an equidigital number, since it uses as much as digits as its factorization.

2965167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36619 (or 36610 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2965167 is about 1721.9660275395. The cubic root of 2965167 is about 143.6645839125.

The spelling of 2965167 in words is "two million, nine hundred sixty-five thousand, one hundred sixty-seven".