363366 has 20 divisors (see below), whose sum is σ = 814572. Its totient is φ = 121068.

The previous prime is 363361. The next prime is 363367. The reversal of 363366 is 663363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 363366.

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

363366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 960 + ... + 1283.

2³⁶³³⁶⁶ is an apocalyptic number.

363366 is an abundant number, since it is smaller than the sum of its proper divisors (451206).

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

363366 is a wasteful number, since it uses less digits than its factorization.

363366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2248 counting only the distinct ones).

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

The square root of 363366 is about 602.7984737871. The cubic root of 363366 is about 71.3588916674.

It can be divided in two parts, 3633 and 66, that multiplied together give a triangular number (239778 = T₆₉₂).

The spelling of 363366 in words is "three hundred sixty-three thousand, three hundred sixty-six".