957121116 has 108 divisors (see below), whose sum is σ = 2640131928. Its totient is φ = 269079552.

The previous prime is 957121111. The next prime is 957121153. The reversal of 957121116 is 611121759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957121111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5532406 + ... + 5532578.

It is an arithmetic number, because the mean of its divisors is an integer number (24445666).

Almost surely, 2^957121116 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 957121116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320065964).

957121116 is an abundant number, since it is smaller than the sum of its proper divisors (1683010812).

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

957121116 is a wasteful number, since it uses less digits than its factorization.

957121116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 282 counting only the distinct ones).

The product of its digits is 3780, while the sum is 33.

The square root of 957121116 is about 30937.3740967135. The cubic root of 957121116 is about 985.4977397994.

The spelling of 957121116 in words is "nine hundred fifty-seven million, one hundred twenty-one thousand, one hundred sixteen".