3172 has 12 divisors (see below), whose sum is σ = 6076. Its totient is φ = 1440.

The previous prime is 3169. The next prime is 3181. The reversal of 3172 is 2713.

3172 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 256 + 2916 = 16^2 + 54^2 .

It is a super-3 number, since 3×3172³ = 95746033344, which contains 333 as substring.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

3172 is an undulating number in base 11.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 82.

It is an amenable number.

3172 is a deficient number, since it is larger than the sum of its proper divisors (2904).

3172 is a wasteful number, since it uses less digits than its factorization.

3172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its digits is 42, while the sum is 13.

The square root of 3172 is about 56.3205113613. The cubic root of 3172 is about 14.6930196547.

Adding to 3172 its reverse (2713), we get a palindrome (5885).

The spelling of 3172 in words is "three thousand, one hundred seventy-two", and thus it is an iban number.