516969 has 16 divisors (see below), whose sum is σ = 786240. Its totient is φ = 335520.

The previous prime is 516959. The next prime is 516973. The reversal of 516969 is 969615.

It is not a de Polignac number, because 516969 - 2⁸ = 516713 is a prime.

It is a super-2 number, since 2×516969² = 534513893922, which contains 22 as substring.

516969 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (516949) 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, 874 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁵¹⁶⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

516969 is a deficient number, since it is larger than the sum of its proper divisors (269271).

516969 is a wasteful number, since it uses less digits than its factorization.

516969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 516969 is about 719.0055632608. The cubic root of 516969 is about 80.2579693370.

It can be divided in two parts, 516 and 969, that added together give a triangular number (1485 = T₅₄).

The spelling of 516969 in words is "five hundred sixteen thousand, nine hundred sixty-nine".