405131429 has 2 divisors, whose sum is σ = 405131430. Its totient is φ = 405131428.

The previous prime is 405131413. The next prime is 405131431. The reversal of 405131429 is 924131504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392951329 + 12180100 = 19823^2 + 3490^2 .

It is a cyclic number.

It is not a de Polignac number, because 405131429 - 2⁴ = 405131413 is a prime.

Together with 405131431, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405131929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202565714 + 202565715.

It is an arithmetic number, because the mean of its divisors is an integer number (202565715).

Almost surely, 2^405131429 is an apocalyptic number.

It is an amenable number.

405131429 is a deficient number, since it is larger than the sum of its proper divisors (1).

405131429 is an equidigital number, since it uses as much as digits as its factorization.

405131429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 405131429 is about 20127.8769123820. The cubic root of 405131429 is about 739.9436461834.

The spelling of 405131429 in words is "four hundred five million, one hundred thirty-one thousand, four hundred twenty-nine".