431057 has 8 divisors (see below), whose sum is σ = 475200. Its totient is φ = 387760.

The previous prime is 431051. The next prime is 431063. The reversal of 431057 is 750134.

It is a happy number.

431057 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (431051) and next prime (431063).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431057 - 2¹⁸ = 168913 is a prime.

It is a pancake number, because a pancake can be divided into 431057 parts by 928 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (431051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1508 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁴³¹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

431057 is a deficient number, since it is larger than the sum of its proper divisors (44143).

431057 is a wasteful number, since it uses less digits than its factorization.

431057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 431057 is about 656.5493126948. The cubic root of 431057 is about 75.5402180357.

It can be divided in two parts, 43 and 1057, that multiplied together give a triangular number (45451 = T₃₀₁).

The spelling of 431057 in words is "four hundred thirty-one thousand, fifty-seven".