413967 has 8 divisors (see below), whose sum is σ = 584496. Its totient is φ = 259712.

The previous prime is 413951. The next prime is 413981. The reversal of 413967 is 769314.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413967 - 2⁴ = 413951 is a prime.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4008 + ... + 4109.

It is an arithmetic number, because the mean of its divisors is an integer number (73062).

2⁴¹³⁹⁶⁷ is an apocalyptic number.

413967 is a deficient number, since it is larger than the sum of its proper divisors (170529).

413967 is a wasteful number, since it uses less digits than its factorization.

413967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137.

The product of its digits is 4536, while the sum is 30.

The square root of 413967 is about 643.4026732926. The cubic root of 413967 is about 74.5284188083.

The spelling of 413967 in words is "four hundred thirteen thousand, nine hundred sixty-seven".