408167 has 4 divisors (see below), whose sum is σ = 410496. Its totient is φ = 405840.

The previous prime is 408137. The next prime is 408169. The reversal of 408167 is 761804.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 408167 - 2¹⁸ = 146023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408167.

It is not an unprimeable number, because it can be changed into a prime (408169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (102624).

2⁴⁰⁸¹⁶⁷ is an apocalyptic number.

408167 is a deficient number, since it is larger than the sum of its proper divisors (2329).

408167 is a wasteful number, since it uses less digits than its factorization.

408167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 408167 is about 638.8794878535. The cubic root of 408167 is about 74.1787134130.

It can be divided in two parts, 408 and 167, that added together give a palindrome (575).

The spelling of 408167 in words is "four hundred eight thousand, one hundred sixty-seven".