363663 has 8 divisors (see below), whose sum is σ = 538800. Its totient is φ = 242424.

The previous prime is 363659. The next prime is 363677. The reversal of 363663 is 366363.

It is not a de Polignac number, because 363663 - 2² = 363659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 13469 = 363663 / (3 + 6 + 3 + 6 + 6 + 3).

It is a d-powerful number, because it can be written as 3⁸ + 6³ + 6⁴ + 3¹¹ + 6⁴ + 3¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6708 + ... + 6761.

It is an arithmetic number, because the mean of its divisors is an integer number (67350).

2³⁶³⁶⁶³ is an apocalyptic number.

363663 is a deficient number, since it is larger than the sum of its proper divisors (175137).

363663 is a wasteful number, since it uses less digits than its factorization.

363663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13478 (or 13472 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 363663 is about 603.0447744571. The cubic root of 363663 is about 71.3783282861.

The spelling of 363663 in words is "three hundred sixty-three thousand, six hundred sixty-three".