363639 has 8 divisors (see below), whose sum is σ = 495360. Its totient is φ = 237176.

The previous prime is 363619. The next prime is 363659. The reversal of 363639 is 936363.

It is an interprime number because it is at equal distance from previous prime (363619) and next prime (363659).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 363639 - 2¹⁷ = 232567 is a prime.

It is an Ulam number.

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 363639.

It is not an unprimeable number, because it can be changed into a prime (363619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (61920).

2³⁶³⁶³⁹ is an apocalyptic number.

363639 is a deficient number, since it is larger than the sum of its proper divisors (131721).

363639 is a wasteful number, since it uses less digits than its factorization.

363639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629.

The product of its digits is 8748, while the sum is 30.

The square root of 363639 is about 603.0248751088. The cubic root of 363639 is about 71.3767580434.

Subtracting from 363639 its sum of digits (30), we obtain a square (363609 = 603²).

The spelling of 363639 in words is "three hundred sixty-three thousand, six hundred thirty-nine".