17121090 has 96 divisors (see below), whose sum is σ = 50397120. Its totient is φ = 3701376.

The previous prime is 17121089. The next prime is 17121101. The reversal of 17121090 is 9012171.

It is a super-3 number, since 3×17121090³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27624 + ... + 28236.

It is an arithmetic number, because the mean of its divisors is an integer number (524970).

Almost surely, 2^17121090 is an apocalyptic number.

17121090 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 17121090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198560).

17121090 is an abundant number, since it is smaller than the sum of its proper divisors (33276030).

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

17121090 is a wasteful number, since it uses less digits than its factorization.

17121090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 17121090 is about 4137.7638888656. The cubic root of 17121090 is about 257.7372181666.

The spelling of 17121090 in words is "seventeen million, one hundred twenty-one thousand, ninety".