413031 has 12 divisors (see below), whose sum is σ = 575016. Its totient is φ = 263520.

The previous prime is 413027. The next prime is 413033. The reversal of 413031 is 130314.

It is not a de Polignac number, because 413031 - 2² = 413027 is a prime.

It is a super-2 number, since 2×413031² = 341189213922, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 412998 and 413016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6741 + ... + 6801.

It is an arithmetic number, because the mean of its divisors is an integer number (47918).

2⁴¹³⁰³¹ is an apocalyptic number.

413031 is a deficient number, since it is larger than the sum of its proper divisors (161985).

413031 is an equidigital number, since it uses as much as digits as its factorization.

413031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 413031 is about 642.6748789240. The cubic root of 413031 is about 74.4722055980.

Adding to 413031 its reverse (130314), we get a palindrome (543345).

The spelling of 413031 in words is "four hundred thirteen thousand, thirty-one".