512217 has 16 divisors (see below), whose sum is σ = 773760. Its totient is φ = 334800.

The previous prime is 512207. The next prime is 512249. The reversal of 512217 is 712215.

512217 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 512217 - 2⁸ = 511961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 512217.

It is not an unprimeable number, because it can be changed into a prime (512207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 1802.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2⁵¹²²¹⁷ is an apocalyptic number.

It is an amenable number.

512217 is a deficient number, since it is larger than the sum of its proper divisors (261543).

512217 is a wasteful number, since it uses less digits than its factorization.

512217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

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

The square root of 512217 is about 715.6933700964. The cubic root of 512217 is about 80.0113004870.

It can be divided in two parts, 512 and 217, that added together give a 6-th power (729 = 3⁶).

The spelling of 512217 in words is "five hundred twelve thousand, two hundred seventeen".