406131 has 16 divisors (see below), whose sum is σ = 611328. Its totient is φ = 237600.

The previous prime is 406123. The next prime is 406169. The reversal of 406131 is 131604.

It is not a de Polignac number, because 406131 - 2³ = 406123 is a prime.

It is a super-2 number, since 2×406131² = 329884778322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406131.

It is not an unprimeable number, because it can be changed into a prime (406171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (38208).

2⁴⁰⁶¹³¹ is an apocalyptic number.

406131 is the 341-st nonagonal number.

406131 is a deficient number, since it is larger than the sum of its proper divisors (205197).

406131 is a wasteful number, since it uses less digits than its factorization.

406131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 406131 is about 637.2840810816. The cubic root of 406131 is about 74.0551694751.

Adding to 406131 its reverse (131604), we get a palindrome (537735).

The spelling of 406131 in words is "four hundred six thousand, one hundred thirty-one".