864513 has 20 divisors (see below), whose sum is σ = 1392468. Its totient is φ = 531360.

The previous prime is 864511. The next prime is 864533. The reversal of 864513 is 315468.

864513 is a `hidden beast` number, since 8 + 645 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178929 + 685584 = 423^2 + 828^2 .

It is not a de Polignac number, because 864513 - 2¹ = 864511 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (864511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 643 + ... + 1463.

2⁸⁶⁴⁵¹³ is an apocalyptic number.

It is an amenable number.

864513 is a deficient number, since it is larger than the sum of its proper divisors (527955).

864513 is a wasteful number, since it uses less digits than its factorization.

864513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 864513 is about 929.7919122040. The cubic root of 864513 is about 95.2629097760.

The spelling of 864513 in words is "eight hundred sixty-four thousand, five hundred thirteen".