31987116 has 96 divisors (see below), whose sum is σ = 98112000. Its totient is φ = 8817984.

The previous prime is 31987099. The next prime is 31987117. The reversal of 31987116 is 61178913.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31987117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21195 + ... + 22653.

It is an arithmetic number, because the mean of its divisors is an integer number (1022000).

Almost surely, 2^31987116 is an apocalyptic number.

31987116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31987116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056000).

31987116 is an abundant number, since it is smaller than the sum of its proper divisors (66124884).

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

31987116 is a wasteful number, since it uses less digits than its factorization.

31987116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 31987116 is about 5655.7153393713. The cubic root of 31987116 is about 317.4375961840.

The spelling of 31987116 in words is "thirty-one million, nine hundred eighty-seven thousand, one hundred sixteen".