363956 has 6 divisors (see below), whose sum is σ = 636930. Its totient is φ = 181976.

The previous prime is 363949. The next prime is 363959. The reversal of 363956 is 659363.

363956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 27556 = 580^2 + 166^2 .

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 363956.

It is not an unprimeable number, because it can be changed into a prime (363959) by changing a digit.

363956 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 as a sum of consecutive naturals, namely, 45491 + ... + 45498.

It is an arithmetic number, because the mean of its divisors is an integer number (106155).

2³⁶³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

363956 is a deficient number, since it is larger than the sum of its proper divisors (272974).

363956 is a wasteful number, since it uses less digits than its factorization.

363956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90993 (or 90991 counting only the distinct ones).

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

The square root of 363956 is about 603.2876594130. The cubic root of 363956 is about 71.3974927653.

The spelling of 363956 in words is "three hundred sixty-three thousand, nine hundred fifty-six".