363363 has 32 divisors (see below), whose sum is σ = 655872. Its totient is φ = 174240.

The previous prime is 363361. The next prime is 363367.

363363 = 27² + 28² + ... + 103².

363363 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 363363 - 2¹ = 363361 is a prime.

363363 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27945 + ... + 27957.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2³⁶³³⁶³ is an apocalyptic number.

363363 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

363363 is a deficient number, since it is larger than the sum of its proper divisors (292509).

363363 is a wasteful number, since it uses less digits than its factorization.

363363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its digits is 2916, while the sum is 24.

The square root of 363363 is about 602.7959853881. The cubic root of 363363 is about 71.3586952839.

The spelling of 363363 in words is "three hundred sixty-three thousand, three hundred sixty-three".