363368 has 16 divisors (see below), whose sum is σ = 694980. Its totient is φ = 178048.

The previous prime is 363367. The next prime is 363371. The reversal of 363368 is 863363.

It can be written as a sum of positive squares in 2 ways, for example, as 315844 + 47524 = 562^2 + 218^2 .

It is a super-3 number, since 3×363368³ = 143933302507716096, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 363368.

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 363368.

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 3 ways as a sum of consecutive naturals, for example, 5 + ... + 852.

2³⁶³³⁶⁸ is an apocalyptic number.

It is an amenable number.

363368 is a deficient number, since it is larger than the sum of its proper divisors (331612).

363368 is a wasteful number, since it uses less digits than its factorization.

363368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 363368 is about 602.8001327140. The cubic root of 363368 is about 71.3590225891.

The spelling of 363368 in words is "three hundred sixty-three thousand, three hundred sixty-eight".