312156 has 72 divisors (see below), whose sum is σ = 917280. Its totient is φ = 88704.

The previous prime is 312121. The next prime is 312161. The reversal of 312156 is 651213.

312156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10750 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2³¹²¹⁵⁶ is an apocalyptic number.

312156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

312156 is the 299-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

312156 is an abundant number, since it is smaller than the sum of its proper divisors (605124).

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

312156 is a wasteful number, since it uses less digits than its factorization.

312156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 312156 is about 558.7092267003. The cubic root of 312156 is about 67.8355310149.

Adding to 312156 its reverse (651213), we get a palindrome (963369).

It can be divided in two parts, 31 and 2156, that added together give a 7-th power (2187 = 3⁷).

The spelling of 312156 in words is "three hundred twelve thousand, one hundred fifty-six".