414314131 has 16 divisors (see below), whose sum is σ = 524263680. Its totient is φ = 318019680.

The previous prime is 414314129. The next prime is 414314237. The reversal of 414314131 is 131413414.

It is a happy number.

It is not a de Polignac number, because 414314131 - 2¹ = 414314129 is a prime.

It is a super-2 number, since 2×414314131² = 343312398292570322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414314431) 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, 34996 + ... + 45313.

It is an arithmetic number, because the mean of its divisors is an integer number (32766480).

Almost surely, 2^414314131 is an apocalyptic number.

414314131 is a deficient number, since it is larger than the sum of its proper divisors (109949549).

414314131 is a wasteful number, since it uses less digits than its factorization.

414314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80394.

The product of its digits is 576, while the sum is 22.

The square root of 414314131 is about 20354.7078338157. The cubic root of 414314131 is about 745.4924486167.

Adding to 414314131 its reverse (131413414), we get a palindrome (545727545).

The spelling of 414314131 in words is "four hundred fourteen million, three hundred fourteen thousand, one hundred thirty-one".