465813 has 12 divisors (see below), whose sum is σ = 683020. Its totient is φ = 305856.

The previous prime is 465809. The next prime is 465821. The reversal of 465813 is 318564.

465813 is a `hidden beast` number, since 4 + 658 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 311364 = 393^2 + 558^2 .

It is not a de Polignac number, because 465813 - 2² = 465809 is a prime.

It is a Duffinian number.

465813 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465813.

It is not an unprimeable number, because it can be changed into a prime (465833) 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 11 ways as a sum of consecutive naturals, for example, 303 + ... + 1011.

2⁴⁶⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

465813 is a deficient number, since it is larger than the sum of its proper divisors (217207).

465813 is a wasteful number, since it uses less digits than its factorization.

465813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 785 counting only the distinct ones).

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

The square root of 465813 is about 682.5049450370. The cubic root of 465813 is about 77.5182336564.

The spelling of 465813 in words is "four hundred sixty-five thousand, eight hundred thirteen".