3156 has 12 divisors (see below), whose sum is σ = 7392. Its totient is φ = 1048.

The previous prime is 3137. The next prime is 3163. The reversal of 3156 is 6513.

3156 = T₉ + T₁₀ + ... + T₂₆.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3156.

It is an unprimeable number.

3156 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 120 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (616).

It is an amenable number.

3156 is an abundant number, since it is smaller than the sum of its proper divisors (4236).

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 (3696).

3156 is a wasteful number, since it uses less digits than its factorization.

3156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 3156 is about 56.1782876208. The cubic root of 3156 is about 14.6682734695.

Adding to 3156 its reverse (6513), we get a palindrome (9669).

The spelling of 3156 in words is "three thousand, one hundred fifty-six".