8131956 has 48 divisors (see below), whose sum is σ = 21880320. Its totient is φ = 2302560.

The previous prime is 8131939. The next prime is 8131957. The reversal of 8131956 is 6591318.

8131956 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8131956² = 132257416771872, which contains 22 as substring.

8131956 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10635 + ... + 11373.

It is an arithmetic number, because the mean of its divisors is an integer number (455840).

Almost surely, 2^8131956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940160).

8131956 is an abundant number, since it is smaller than the sum of its proper divisors (13748364).

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

8131956 is a wasteful number, since it uses less digits than its factorization.

8131956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 8131956 is about 2851.6584648236. The cubic root of 8131956 is about 201.0936421669.

The spelling of 8131956 in words is "eight million, one hundred thirty-one thousand, nine hundred fifty-six".