512712 has 24 divisors (see below), whose sum is σ = 1388790. Its totient is φ = 170880.

The previous prime is 512711. The next prime is 512713. The reversal of 512712 is 217215.

It is an interprime number because it is at equal distance from previous prime (512711) and next prime (512713).

It can be written as a sum of positive squares in only one way, i.e., 509796 + 2916 = 714^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (512711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3489 + ... + 3632.

2⁵¹²⁷¹² is an apocalyptic number.

It is an amenable number.

512712 is an abundant number, since it is smaller than the sum of its proper divisors (876078).

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

512712 is a wasteful number, since it uses less digits than its factorization.

512712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133 (or 7126 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 512712 is about 716.0391050774. The cubic root of 512712 is about 80.0370661569.

Adding to 512712 its reverse (217215), we get a palindrome (729927).

The spelling of 512712 in words is "five hundred twelve thousand, seven hundred twelve".