17930 has 16 divisors (see below), whose sum is σ = 35424. Its totient is φ = 6480.

The previous prime is 17929. The next prime is 17939. The reversal of 17930 is 3971.

17930 = 33² + 34² + ... + 44².

It is not an unprimeable number, because it can be changed into a prime (17939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (2214).

2¹⁷⁹³⁰ is an apocalyptic number.

17930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17930 is a deficient number, since it is larger than the sum of its proper divisors (17494).

17930 is a wasteful number, since it uses less digits than its factorization.

17930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 17930 is about 133.9029499302. The cubic root of 17930 is about 26.1733972345.

The spelling of 17930 in words is "seventeen thousand, nine hundred thirty".