18975 has 24 divisors (see below), whose sum is σ = 35712. Its totient is φ = 8800.

The previous prime is 18973. The next prime is 18979. The reversal of 18975 is 57981.

18975 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 18975 - 2¹ = 18973 is a prime.

Its product of digits (2520) is a multiple of the sum of its prime divisors (42).

18975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

2¹⁸⁹⁷⁵ is an apocalyptic number.

18975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18975 is a deficient number, since it is larger than the sum of its proper divisors (16737).

18975 is a wasteful number, since it uses less digits than its factorization.

18975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 42 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 18975 is about 137.7497731396. The cubic root of 18975 is about 26.6723078343.

The spelling of 18975 in words is "eighteen thousand, nine hundred seventy-five".