18879 has 16 divisors (see below), whose sum is σ = 30720. Its totient is φ = 10080.

The previous prime is 18869. The next prime is 18899. The reversal of 18879 is 97881.

18879 = 8² + 9² + ... + 38².

It is not a de Polignac number, because 18879 - 2⁹ = 18367 is a prime.

18879 is a lucky number.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (1920).

2¹⁸⁸⁷⁹ is an apocalyptic number.

18879 is a deficient number, since it is larger than the sum of its proper divisors (11841).

18879 is a wasteful number, since it uses less digits than its factorization.

18879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70.

The product of its digits is 4032, while the sum is 33.

The square root of 18879 is about 137.4008733597. The cubic root of 18879 is about 26.6272507961.

The spelling of 18879 in words is "eighteen thousand, eight hundred seventy-nine".