431257 has 2 divisors, whose sum is σ = 431258. Its totient is φ = 431256.

The previous prime is 431251. The next prime is 431267. The reversal of 431257 is 752134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 177241 = 504^2 + 421^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-431257 is a prime.

It is not a weakly prime, because it can be changed into another prime (431251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215628 + 215629.

It is an arithmetic number, because the mean of its divisors is an integer number (215629).

2⁴³¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

431257 is a deficient number, since it is larger than the sum of its proper divisors (1).

431257 is an equidigital number, since it uses as much as digits as its factorization.

431257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 431257 is about 656.7016065155. The cubic root of 431257 is about 75.5518991727.

The spelling of 431257 in words is "four hundred thirty-one thousand, two hundred fifty-seven".