515364 has 24 divisors (see below), whose sum is σ = 1222368. Its totient is φ = 168960.

The previous prime is 515357. The next prime is 515369. The reversal of 515364 is 463515.

515364 is nontrivially palindromic in base 11.

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 515364.

It is not an unprimeable number, because it can be changed into a prime (515369) 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 7 ways as a sum of consecutive naturals, for example, 484 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (50932).

2⁵¹⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

515364 is an abundant number, since it is smaller than the sum of its proper divisors (707004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

515364 is a wasteful number, since it uses less digits than its factorization.

515364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 515364 is about 717.8885707406. Note that the first 3 decimals coincide. The cubic root of 515364 is about 80.1748260034.

Adding to 515364 its reverse (463515), we get a palindrome (978879).

The spelling of 515364 in words is "five hundred fifteen thousand, three hundred sixty-four".