409167 has 12 divisors (see below), whose sum is σ = 644904. Its totient is φ = 247920.

The previous prime is 409163. The next prime is 409177. The reversal of 409167 is 761904.

It is not a de Polignac number, because 409167 - 2² = 409163 is a prime.

409167 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 409167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (53742).

2⁴⁰⁹¹⁶⁷ is an apocalyptic number.

409167 is a deficient number, since it is larger than the sum of its proper divisors (235737).

409167 is a wasteful number, since it uses less digits than its factorization.

409167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 409167 is about 639.6616293010. The cubic root of 409167 is about 74.2392427364.

It can be divided in two parts, 409 and 167, that added together give a square (576 = 24²).

The spelling of 409167 in words is "four hundred nine thousand, one hundred sixty-seven".