413667 has 10 divisors (see below), whose sum is σ = 618068. Its totient is φ = 275724.

The previous prime is 413653. The next prime is 413681. The reversal of 413667 is 766314.

It is an interprime number because it is at equal distance from previous prime (413653) and next prime (413681).

It is not a de Polignac number, because 413667 - 2⁸ = 413411 is a prime.

It is a super-2 number, since 2×413667² = 342240773778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413667.

It is not an unprimeable number, because it can be changed into a prime (413167) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2473 + ... + 2634.

2⁴¹³⁶⁶⁷ is an apocalyptic number.

413667 is a deficient number, since it is larger than the sum of its proper divisors (204401).

413667 is an equidigital number, since it uses as much as digits as its factorization.

413667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5110 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 413667 is about 643.1694955453. The cubic root of 413667 is about 74.5104109889.

The spelling of 413667 in words is "four hundred thirteen thousand, six hundred sixty-seven".