414414131 has 2 divisors, whose sum is σ = 414414132. Its totient is φ = 414414130.

The previous prime is 414414113. The next prime is 414414157. The reversal of 414414131 is 131414414.

Together with previous prime (414414113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414414131 - 2⁶ = 414414067 is a prime.

It is a super-2 number, since 2×414414131² = 343478143944970322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414414097 and 414414106.

It is not a weakly prime, because it can be changed into another prime (414414431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207207065 + 207207066.

It is an arithmetic number, because the mean of its divisors is an integer number (207207066).

Almost surely, 2^414414131 is an apocalyptic number.

414414131 is a deficient number, since it is larger than the sum of its proper divisors (1).

414414131 is an equidigital number, since it uses as much as digits as its factorization.

414414131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 768, while the sum is 23.

The square root of 414414131 is about 20357.1641197884. The cubic root of 414414131 is about 745.5524218289.

Adding to 414414131 its reverse (131414414), we get a palindrome (545828545).

The spelling of 414414131 in words is "four hundred fourteen million, four hundred fourteen thousand, one hundred thirty-one".