363965 has 8 divisors (see below), whose sum is σ = 499200. Its totient is φ = 249552.

The previous prime is 363959. The next prime is 363967. The reversal of 363965 is 569363.

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 363965 - 2⁴ = 363949 is a prime.

It is a nialpdrome in base 13.

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 363965.

It is not an unprimeable number, because it can be changed into a prime (363967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5165 + ... + 5234.

It is an arithmetic number, because the mean of its divisors is an integer number (62400).

2³⁶³⁹⁶⁵ is an apocalyptic number.

363965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

363965 is a deficient number, since it is larger than the sum of its proper divisors (135235).

363965 is a wasteful number, since it uses less digits than its factorization.

363965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411.

The product of its digits is 14580, while the sum is 32.

The square root of 363965 is about 603.2951184951. The cubic root of 363965 is about 71.3980812725.

The spelling of 363965 in words is "three hundred sixty-three thousand, nine hundred sixty-five".