512397 has 18 divisors (see below), whose sum is σ = 790218. Its totient is φ = 319872.

The previous prime is 512389. The next prime is 512419. The reversal of 512397 is 793215.

It can be written as a sum of positive squares in 3 ways, for example, as 367236 + 145161 = 606^2 + 381^2 .

It is not a de Polignac number, because 512397 - 2³ = 512389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 512397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2503 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (43901).

2⁵¹²³⁹⁷ is an apocalyptic number.

It is an amenable number.

512397 is a deficient number, since it is larger than the sum of its proper divisors (277821).

512397 is a wasteful number, since it uses less digits than its factorization.

512397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 512397 is about 715.8191112285. The cubic root of 512397 is about 80.0206717414.

It can be divided in two parts, 512 and 397, that added together give a palindrome (909).

The spelling of 512397 in words is "five hundred twelve thousand, three hundred ninety-seven".