363564 has 18 divisors (see below), whose sum is σ = 919100. Its totient is φ = 121176.

The previous prime is 363563. The next prime is 363569. The reversal of 363564 is 465363.

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

363564 is a modest number, since divided by 3564 gives 36 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363564.

It is not an unprimeable number, because it can be changed into a prime (363563) 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, 5014 + ... + 5085.

2³⁶³⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

363564 is an abundant number, since it is smaller than the sum of its proper divisors (555536).

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

363564 is a wasteful number, since it uses less digits than its factorization.

363564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10109 (or 10104 counting only the distinct ones).

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

The square root of 363564 is about 602.9626854126. The cubic root of 363564 is about 71.3718505894.

It can be divided in two parts, 36 and 3564, that added together give a square (3600 = 60²).

The spelling of 363564 in words is "three hundred sixty-three thousand, five hundred sixty-four".