400167 has 8 divisors (see below), whose sum is σ = 592880. Its totient is φ = 266760.

The previous prime is 400157. The next prime is 400187. The reversal of 400167 is 761004.

It is not a de Polignac number, because 400167 - 2⁴ = 400151 is a prime.

It is a Duffinian number.

400167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7384 + ... + 7437.

It is an arithmetic number, because the mean of its divisors is an integer number (74110).

2⁴⁰⁰¹⁶⁷ is an apocalyptic number.

400167 is a deficient number, since it is larger than the sum of its proper divisors (192713).

400167 is a wasteful number, since it uses less digits than its factorization.

400167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14830 (or 14824 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 400167 is about 632.5875433487. The cubic root of 400167 is about 73.6908824338.

The spelling of 400167 in words is "four hundred thousand, one hundred sixty-seven".