421167 has 16 divisors (see below), whose sum is σ = 599040. Its totient is φ = 262752.

The previous prime is 421163. The next prime is 421177. The reversal of 421167 is 761124.

421167 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 421167 - 2² = 421163 is a prime.

421167 is strictly pandigital in base 7.

421167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421163) 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, 4038 + ... + 4140.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2⁴²¹¹⁶⁷ is an apocalyptic number.

421167 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

421167 is a deficient number, since it is larger than the sum of its proper divisors (177873).

421167 is a wasteful number, since it uses less digits than its factorization.

421167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its digits is 336, while the sum is 21.

The square root of 421167 is about 648.9738053265. The cubic root of 421167 is about 74.9580209523.

It can be divided in two parts, 4211 and 67, that added together give a triangular number (4278 = T₉₂).

The spelling of 421167 in words is "four hundred twenty-one thousand, one hundred sixty-seven".