413137 has 4 divisors (see below), whose sum is σ = 426496. Its totient is φ = 399780.

The previous prime is 413129. The next prime is 413141. The reversal of 413137 is 731314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 413137 - 2³ = 413129 is a prime.

It is a Duffinian number.

413137 is a lucky 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 3 ways as a sum of consecutive naturals, for example, 6633 + ... + 6694.

It is an arithmetic number, because the mean of its divisors is an integer number (106624).

2⁴¹³¹³⁷ is an apocalyptic number.

It is an amenable number.

413137 is a deficient number, since it is larger than the sum of its proper divisors (13359).

413137 is a wasteful number, since it uses less digits than its factorization.

413137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358.

The product of its digits is 252, while the sum is 19.

The square root of 413137 is about 642.7573414594. The cubic root of 413137 is about 74.4785758855.

The spelling of 413137 in words is "four hundred thirteen thousand, one hundred thirty-seven".