31117000 has 96 divisors (see below), whose sum is σ = 77449320. Its totient is φ = 11692800.

The previous prime is 31116997. The next prime is 31117001. The reversal of 31117000 is 71113.

It can be written as a sum of positive squares in 12 ways, for example, as 47524 + 31069476 = 218^2 + 5574^2 .

It is not an unprimeable number, because it can be changed into a prime (31117001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840982 + ... + 841018.

Almost surely, 2^31117000 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 31117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38724660).

31117000 is an abundant number, since it is smaller than the sum of its proper divisors (46332320).

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

31117000 is a wasteful number, since it uses less digits than its factorization.

31117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 31117000 is about 5578.2613778847. The cubic root of 31117000 is about 314.5327750375.

Adding to 31117000 its reverse (71113), we get a palindrome (31188113).

The spelling of 31117000 in words is "thirty-one million, one hundred seventeen thousand".