17140 has 12 divisors (see below), whose sum is σ = 36036. Its totient is φ = 6848.

The previous prime is 17137. The next prime is 17159. The reversal of 17140 is 4171.

17140 = T₃₁ + T₃₂ + ... + T₅₀.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 5476 = 108^2 + 74^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 17140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (3003).

2¹⁷¹⁴⁰ is an apocalyptic number.

17140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17140 is an abundant number, since it is smaller than the sum of its proper divisors (18896).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018).

17140 is a wasteful number, since it uses less digits than its factorization.

17140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 17140 is about 130.9198227924. The cubic root of 17140 is about 25.7832072282.

The spelling of 17140 in words is "seventeen thousand, one hundred forty", and thus it is an iban number.