413129 has 2 divisors, whose sum is σ = 413130. Its totient is φ = 413128.

The previous prime is 413113. The next prime is 413141. The reversal of 413129 is 921314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 76729 = 580^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 413129 - 2⁴ = 413113 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 413129.

It is not a weakly prime, because it can be changed into another prime (413159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206564 + 206565.

It is an arithmetic number, because the mean of its divisors is an integer number (206565).

2⁴¹³¹²⁹ is an apocalyptic number.

It is an amenable number.

413129 is a deficient number, since it is larger than the sum of its proper divisors (1).

413129 is an equidigital number, since it uses as much as digits as its factorization.

413129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 20.

The square root of 413129 is about 642.7511182410. The cubic root of 413129 is about 74.4780951471.

The spelling of 413129 in words is "four hundred thirteen thousand, one hundred twenty-nine".