363966 has 8 divisors (see below), whose sum is σ = 727944. Its totient is φ = 121320.

The previous prime is 363959. The next prime is 363967. The reversal of 363966 is 669363.

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

363966 is an admirable number.

It is a Curzon number.

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 363966.

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 3 ways as a sum of consecutive naturals, for example, 30325 + ... + 30336.

It is an arithmetic number, because the mean of its divisors is an integer number (90993).

2³⁶³⁹⁶⁶ is an apocalyptic number.

363966 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363966 is a wasteful number, since it uses less digits than its factorization.

363966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60666.

The product of its digits is 17496, while the sum is 33.

The square root of 363966 is about 603.2959472763. The cubic root of 363966 is about 71.3981466616.

The spelling of 363966 in words is "three hundred sixty-three thousand, nine hundred sixty-six".