17970 has 16 divisors (see below), whose sum is σ = 43200. Its totient is φ = 4784.

The previous prime is 17959. The next prime is 17971. The reversal of 17970 is 7971.

17970 = T₃₂ + T₃₃ + ... + T₅₁.

It is an Ulam number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 17970.

It is not an unprimeable number, because it can be changed into a prime (17971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2¹⁷⁹⁷⁰ is an apocalyptic number.

17970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17970 is an abundant number, since it is smaller than the sum of its proper divisors (25230).

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 (21600).

17970 is a wasteful number, since it uses less digits than its factorization.

17970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 17970 is about 134.0522286275. The cubic root of 17970 is about 26.1928461715.

Subtracting from 17970 its reverse (7971), we obtain a palindrome (9999).

The spelling of 17970 in words is "seventeen thousand, nine hundred seventy".