16170 has 48 divisors (see below), whose sum is σ = 49248. Its totient is φ = 3360.

The previous prime is 16141. The next prime is 16183. The reversal of 16170 is 7161.

It is a super-2 number, since 2×16170² = 522937800, which contains 22 as substring.

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

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (1026).

2¹⁶¹⁷⁰ is an apocalyptic number.

16170 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 16170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624).

16170 is an abundant number, since it is smaller than the sum of its proper divisors (33078).

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

16170 is a wasteful number, since it uses less digits than its factorization.

16170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 16170 is about 127.1613148721. The cubic root of 16170 is about 25.2873511843.

Subtracting from 16170 its reverse (7161), we obtain a palindrome (9009).

It can be divided in two parts, 161 and 70, that added together give a triangular number (231 = T₂₁).

The spelling of 16170 in words is "sixteen thousand, one hundred seventy".