8172 has 18 divisors (see below), whose sum is σ = 20748. Its totient is φ = 2712.

The previous prime is 8171. The next prime is 8179. The reversal of 8172 is 2718.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 8172.

It is not an unprimeable number, because it can be changed into a prime (8171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78 + ... + 149.

2^{8172} is an apocalyptic number.

It is an amenable number.

8172 is an abundant number, since it is smaller than the sum of its proper divisors (12576).

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

8172 is a wasteful number, since it uses less digits than its factorization.

8172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 8172 is about 90.3991150399. The cubic root of 8172 is about 20.1423182076.

8172 divided by its sum of digits (18) gives a palindrome (454).

It can be divided in two parts, 81 and 72, that multiplied together give a cube (5832 = 18^{3}).

The spelling of 8172 in words is "eight thousand, one hundred seventy-two".

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