4170 has 16 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1104.

The previous prime is 4159. The next prime is 4177. The reversal of 4170 is 714.

It is not an unprimeable number, because it can be changed into a prime (4177) by changing a digit.

4170 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2⁴¹⁷⁰ is an apocalyptic number.

4170 is an abundant number, since it is smaller than the sum of its proper divisors (5910).

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 (5040).

4170 is a wasteful number, since it uses less digits than its factorization.

4170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 4170 is about 64.5755371639. The cubic root of 4170 is about 16.0957796636.

Adding to 4170 its reverse (714), we get a palindrome (4884).

It can be divided in two parts, 41 and 70, that added together give a palindrome (111).

The spelling of 4170 in words is "four thousand, one hundred seventy", and thus it is an iban number.