515967 has 16 divisors (see below), whose sum is σ = 744192. Its totient is φ = 316800.

The previous prime is 515951. The next prime is 515969. The reversal of 515967 is 769515.

It is not a de Polignac number, because 515967 - 2⁴ = 515951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3342 + ... + 3492.

It is an arithmetic number, because the mean of its divisors is an integer number (46512).

2⁵¹⁵⁹⁶⁷ is an apocalyptic number.

515967 is a deficient number, since it is larger than the sum of its proper divisors (228225).

515967 is a wasteful number, since it uses less digits than its factorization.

515967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its digits is 9450, while the sum is 33.

The square root of 515967 is about 718.3084295760. The cubic root of 515967 is about 80.2060832487.

The spelling of 515967 in words is "five hundred fifteen thousand, nine hundred sixty-seven".