431197 has 8 divisors (see below), whose sum is σ = 476280. Its totient is φ = 387840.

The previous prime is 431191. The next prime is 431203. The reversal of 431197 is 791134.

It is an interprime number because it is at equal distance from previous prime (431191) and next prime (431203).

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 423801 = 86^2 + 651^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-431197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431191) 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, 129 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

2⁴³¹¹⁹⁷ is an apocalyptic number.

It is an amenable number.

431197 is a deficient number, since it is larger than the sum of its proper divisors (45083).

431197 is a wasteful number, since it uses less digits than its factorization.

431197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863.

The product of its digits is 756, while the sum is 25.

The square root of 431197 is about 656.6559220779. The cubic root of 431197 is about 75.5483952108.

The spelling of 431197 in words is "four hundred thirty-one thousand, one hundred ninety-seven".