108933 has 8 divisors (see below), whose sum is σ = 158496. Its totient is φ = 66000.

The previous prime is 108929. The next prime is 108943. The reversal of 108933 is 339801.

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

It is not a de Polignac number, because 108933 - 2² = 108929 is a prime.

108933 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108923) 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, 1618 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2¹⁰⁸⁹³³ is an apocalyptic number.

It is an amenable number.

108933 is a deficient number, since it is larger than the sum of its proper divisors (49563).

108933 is a wasteful number, since it uses less digits than its factorization.

108933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 108933 is about 330.0499962127. The cubic root of 108933 is about 47.7587723620.

It can be divided in two parts, 1089 and 33, that multiplied together give a cube (35937 = 33³).

The spelling of 108933 in words is "one hundred eight thousand, nine hundred thirty-three".