431904961 has 2 divisors, whose sum is σ = 431904962. Its totient is φ = 431904960.

The previous prime is 431904937. The next prime is 431905007. The reversal of 431904961 is 169409134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284428225 + 147476736 = 16865^2 + 12144^2 .

It is a cyclic number.

It is not a de Polignac number, because 431904961 - 2¹⁵ = 431872193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431904961.

It is not a weakly prime, because it can be changed into another prime (431901961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215952480 + 215952481.

It is an arithmetic number, because the mean of its divisors is an integer number (215952481).

Almost surely, 2^431904961 is an apocalyptic number.

It is an amenable number.

431904961 is a deficient number, since it is larger than the sum of its proper divisors (1).

431904961 is an equidigital number, since it uses as much as digits as its factorization.

431904961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 431904961 is about 20782.3232820587. The cubic root of 431904961 is about 755.8971899283.

The spelling of 431904961 in words is "four hundred thirty-one million, nine hundred four thousand, nine hundred sixty-one".