4172 has 12 divisors (see below), whose sum is σ = 8400. Its totient is φ = 1776.

The previous prime is 4159. The next prime is 4177. The reversal of 4172 is 2714.

Adding to 4172 its sum of digits (14), we get a triangular number (4186 = T_{91}).

Adding to 4172 its reverse (2714), we get a palindrome (6886).

It is a happy number.

4172 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4172.

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

4172 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 3 ways as a sum of consecutive naturals, for example, 47 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

It is an amenable number.

4172 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (4200).

4172 is a wasteful number, since it uses less digits than its factorization.

4172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its digits is 56, while the sum is 14.

The square root of 4172 is about 64.5910210478. The cubic root of 4172 is about 16.0983525184.

The spelling of 4172 in words is "four thousand, one hundred seventy-two", and thus it is an iban number.

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