653364 has 18 divisors (see below), whose sum is σ = 1651650. Its totient is φ = 217776.

The previous prime is 653363. The next prime is 653431. The reversal of 653364 is 463356.

653364 is a `hidden beast` number, since 653 + 3 + 6 + 4 = 666.

653364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 152100 = 708^2 + 390^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 653364.

It is not an unprimeable number, because it can be changed into a prime (653363) 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, 9039 + ... + 9110.

2⁶⁵³³⁶⁴ is an apocalyptic number.

It is an amenable number.

653364 is an abundant number, since it is smaller than the sum of its proper divisors (998286).

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

653364 is a wasteful number, since it uses less digits than its factorization.

653364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18159 (or 18154 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 653364 is about 808.3093467231. The cubic root of 653364 is about 86.7730908255.

The spelling of 653364 in words is "six hundred fifty-three thousand, three hundred sixty-four".