63365 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 44352.

The previous prime is 63361. The next prime is 63367. The reversal of 63365 is 56336.

63365 = 1² + 2² + ... + 57².

It is a cyclic number.

It is not a de Polignac number, because 63365 - 2² = 63361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 63365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁶³³⁶⁵ is an apocalyptic number.

It is an amenable number.

63365 is a deficient number, since it is larger than the sum of its proper divisors (23035).

63365 is a wasteful number, since it uses less digits than its factorization.

63365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its digits is 1620, while the sum is 23.

The square root of 63365 is about 251.7240552669. The cubic root of 63365 is about 39.8672683784.

The spelling of 63365 in words is "sixty-three thousand, three hundred sixty-five".