17979 has 8 divisors (see below), whose sum is σ = 25872. Its totient is φ = 11040.

The previous prime is 17977. The next prime is 17981. The reversal of 17979 is 97971.

17979 = 31² + 32² + ... + 43².

17979 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (17977) and next prime (17981).

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

It is not a de Polignac number, because 17979 - 2¹ = 17977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17971) 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, 192 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (3234).

2¹⁷⁹⁷⁹ is an apocalyptic number.

17979 is a deficient number, since it is larger than the sum of its proper divisors (7893).

17979 is a wasteful number, since it uses less digits than its factorization.

17979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477.

The product of its digits is 3969, while the sum is 33.

The square root of 17979 is about 134.0857934309. The cubic root of 17979 is about 26.1972182040.

It can be divided in two parts, 179 and 79, that multiplied together give a palindrome (14141).

The spelling of 17979 in words is "seventeen thousand, nine hundred seventy-nine".