401005167 has 16 divisors (see below), whose sum is σ = 539934720. Its totient is φ = 264714912.

The previous prime is 401005159. The next prime is 401005169. The reversal of 401005167 is 761500104.

It is not a de Polignac number, because 401005167 - 2³ = 401005159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401005169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385434 + ... + 386472.

It is an arithmetic number, because the mean of its divisors is an integer number (33745920).

Almost surely, 2^401005167 is an apocalyptic number.

401005167 is a deficient number, since it is larger than the sum of its proper divisors (138929553).

401005167 is a wasteful number, since it uses less digits than its factorization.

401005167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 401005167 is about 20025.1134079186. The cubic root of 401005167 is about 737.4229612912.

The spelling of 401005167 in words is "four hundred one million, five thousand, one hundred sixty-seven".