17490 has 32 divisors (see below), whose sum is σ = 46656. Its totient is φ = 4160.

The previous prime is 17489. The next prime is 17491. The reversal of 17490 is 9471.

It is an interprime number because it is at equal distance from previous prime (17489) and next prime (17491).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17491) 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 15 ways as a sum of consecutive naturals, for example, 304 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (1458).

2¹⁷⁴⁹⁰ is an apocalyptic number.

17490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328).

17490 is an abundant number, since it is smaller than the sum of its proper divisors (29166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17490 is a wasteful number, since it uses less digits than its factorization.

17490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 17490 is about 132.2497637049. The cubic root of 17490 is about 25.9575243345.

The spelling of 17490 in words is "seventeen thousand, four hundred ninety".