512865 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 262080.

The previous prime is 512849. The next prime is 512891. The reversal of 512865 is 568215.

It is not a de Polignac number, because 512865 - 2⁴ = 512849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512865.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3850 + ... + 3980.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁵¹²⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

512865 is a deficient number, since it is larger than the sum of its proper divisors (437535).

512865 is a wasteful number, since it uses less digits than its factorization.

512865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 512865 is about 716.1459348485. The cubic root of 512865 is about 80.0450267360.

It can be divided in two parts, 51 and 2865, that added together give a square (2916 = 54²).

The spelling of 512865 in words is "five hundred twelve thousand, eight hundred sixty-five".