17142000 has 80 divisors (see below), whose sum is σ = 55285152. Its totient is φ = 4569600.

The previous prime is 17141963. The next prime is 17142011. The reversal of 17142000 is 24171.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4572 + ... + 7428.

Almost surely, 2^17142000 is an apocalyptic number.

17142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27642576).

17142000 is an abundant number, since it is smaller than the sum of its proper divisors (38143152).

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

17142000 is a wasteful number, since it uses less digits than its factorization.

17142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 17142000 is about 4140.2898449263. The cubic root of 17142000 is about 257.8421003663.

Adding to 17142000 its reverse (24171), we get a palindrome (17166171).

The spelling of 17142000 in words is "seventeen million, one hundred forty-two thousand".