253872167 has 8 divisors (see below), whose sum is σ = 267981360. Its totient is φ = 240503976.

The previous prime is 253872163. The next prime is 253872181. The reversal of 253872167 is 761278352.

It is not a de Polignac number, because 253872167 - 2² = 253872163 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253872161) 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 7 ways as a sum of consecutive naturals, for example, 11648 + ... + 25365.

It is an arithmetic number, because the mean of its divisors is an integer number (33497670).

Almost surely, 2^253872167 is an apocalyptic number.

253872167 is a deficient number, since it is larger than the sum of its proper divisors (14109193).

253872167 is an frugal number, since it uses more digits than its factorization.

253872167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37070 (or 37032 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 253872167 is about 15933.3664678874. The cubic root of 253872167 is about 633.1962925715.

The spelling of 253872167 in words is "two hundred fifty-three million, eight hundred seventy-two thousand, one hundred sixty-seven".