363364 has 6 divisors (see below), whose sum is σ = 635894. Its totient is φ = 181680.

The previous prime is 363361. The next prime is 363367. The reversal of 363364 is 463363.

363364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (363361) and next prime (363367).

It can be written as a sum of positive squares in only one way, i.e., 360000 + 3364 = 600^2 + 58^2 .

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363364.

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 as a sum of consecutive naturals, namely, 45417 + ... + 45424.

2³⁶³³⁶⁴ is an apocalyptic number.

It is an amenable number.

363364 is a deficient number, since it is larger than the sum of its proper divisors (272530).

363364 is a wasteful number, since it uses less digits than its factorization.

363364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90845 (or 90843 counting only the distinct ones).

The product of its digits is 3888, while the sum is 25.

The square root of 363364 is about 602.7968148556. The cubic root of 363364 is about 71.3587607452.

Subtracting 363364 from its reverse (463363), we obtain a palindrome (99999).

It can be divided in two parts, 363 and 364, that added together give a palindrome (727).

The spelling of 363364 in words is "three hundred sixty-three thousand, three hundred sixty-four".