363993 has 8 divisors (see below), whose sum is σ = 554688. Its totient is φ = 207984.

The previous prime is 363989. The next prime is 364027. The reversal of 363993 is 399363.

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

It is not a de Polignac number, because 363993 - 2² = 363989 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361993) 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, 8646 + ... + 8687.

It is an arithmetic number, because the mean of its divisors is an integer number (69336).

2³⁶³⁹⁹³ is an apocalyptic number.

It is an amenable number.

363993 is a deficient number, since it is larger than the sum of its proper divisors (190695).

363993 is a wasteful number, since it uses less digits than its factorization.

363993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17343.

The product of its digits is 13122, while the sum is 33.

The square root of 363993 is about 603.3183239385. The cubic root of 363993 is about 71.3999121216.

The spelling of 363993 in words is "three hundred sixty-three thousand, nine hundred ninety-three".