17990 has 16 divisors (see below), whose sum is σ = 37152. Its totient is φ = 6144.

The previous prime is 17989. The next prime is 18013. The reversal of 17990 is 9971.

17990 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

17990 is an undulating number in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (2322).

2¹⁷⁹⁹⁰ is an apocalyptic number.

17990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17990 is an abundant number, since it is smaller than the sum of its proper divisors (19162).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576).

17990 is a wasteful number, since it uses less digits than its factorization.

17990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 17990 is about 134.1268056728. The cubic root of 17990 is about 26.2025598183.

It can be divided in two parts, 179 and 90, that multiplied together give a triangular number (16110 = T₁₇₉).

The spelling of 17990 in words is "seventeen thousand, nine hundred ninety".