512967 has 16 divisors (see below), whose sum is σ = 842240. Its totient is φ = 270432.

The previous prime is 512959. The next prime is 512977. The reversal of 512967 is 769215.

It is not a de Polignac number, because 512967 - 2³ = 512959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 1212.

It is an arithmetic number, because the mean of its divisors is an integer number (52640).

2⁵¹²⁹⁶⁷ is an apocalyptic number.

512967 is a deficient number, since it is larger than the sum of its proper divisors (329273).

512967 is a wasteful number, since it uses less digits than its factorization.

512967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902.

The product of its digits is 3780, while the sum is 30.

The square root of 512967 is about 716.2171458434. The cubic root of 512967 is about 80.0503329092.

The spelling of 512967 in words is "five hundred twelve thousand, nine hundred sixty-seven".