515997 has 16 divisors (see below), whose sum is σ = 792000. Its totient is φ = 331632.

The previous prime is 515993. The next prime is 516017. The reversal of 515997 is 799515.

It is a happy number.

It is not a de Polignac number, because 515997 - 2² = 515993 is a prime.

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 515997.

It is not an unprimeable number, because it can be changed into a prime (515993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (49500).

2⁵¹⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

515997 is a deficient number, since it is larger than the sum of its proper divisors (276003).

515997 is a wasteful number, since it uses less digits than its factorization.

515997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its digits is 14175, while the sum is 36.

The square root of 515997 is about 718.3293116670. The cubic root of 515997 is about 80.2076376994.

The spelling of 515997 in words is "five hundred fifteen thousand, nine hundred ninety-seven".