412167 has 16 divisors (see below), whose sum is σ = 661760. Its totient is φ = 222912.

The previous prime is 412157. The next prime is 412171. The reversal of 412167 is 761214.

It is not a de Polignac number, because 412167 - 2⁷ = 412039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412127) 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, 118 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (41360).

2⁴¹²¹⁶⁷ is an apocalyptic number.

412167 is a deficient number, since it is larger than the sum of its proper divisors (249593).

412167 is a wasteful number, since it uses less digits than its factorization.

412167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062.

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

The square root of 412167 is about 642.0023364443. The cubic root of 412167 is about 74.4202410531.

The spelling of 412167 in words is "four hundred twelve thousand, one hundred sixty-seven".