431397 has 6 divisors (see below), whose sum is σ = 623142. Its totient is φ = 287592.

The previous prime is 431381. The next prime is 431399. The reversal of 431397 is 793134.

It can be written as a sum of positive squares in only one way, i.e., 370881 + 60516 = 609^2 + 246^2 .

It is not a de Polignac number, because 431397 - 2⁴ = 431381 is a prime.

It is a super-2 number, since 2×431397² = 372206743218, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431397.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431397.

It is not an unprimeable number, because it can be changed into a prime (431399) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23958 + ... + 23975.

It is an arithmetic number, because the mean of its divisors is an integer number (103857).

2⁴³¹³⁹⁷ is an apocalyptic number.

It is an amenable number.

431397 is a deficient number, since it is larger than the sum of its proper divisors (191745).

431397 is a wasteful number, since it uses less digits than its factorization.

431397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47939 (or 47936 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 431397 is about 656.8081911791. The cubic root of 431397 is about 75.5600738199.

It can be divided in two parts, 431 and 397, that added together give a palindrome (828).

The spelling of 431397 in words is "four hundred thirty-one thousand, three hundred ninety-seven".