414612137 has 2 divisors, whose sum is σ = 414612138. Its totient is φ = 414612136.

The previous prime is 414612127. The next prime is 414612157. The reversal of 414612137 is 731216414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 325044841 + 89567296 = 18029^2 + 9464^2 .

It is a cyclic number.

It is not a de Polignac number, because 414612137 - 2⁸ = 414611881 is a prime.

It is a super-3 number, since 3×414612137³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414612127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207306068 + 207306069.

It is an arithmetic number, because the mean of its divisors is an integer number (207306069).

Almost surely, 2^414612137 is an apocalyptic number.

It is an amenable number.

414612137 is a deficient number, since it is larger than the sum of its proper divisors (1).

414612137 is an equidigital number, since it uses as much as digits as its factorization.

414612137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 29.

The square root of 414612137 is about 20362.0268391926. The cubic root of 414612137 is about 745.6711439288.

The spelling of 414612137 in words is "four hundred fourteen million, six hundred twelve thousand, one hundred thirty-seven".