31714000 has 80 divisors (see below), whose sum is σ = 77936976. Its totient is φ = 12480000.

The previous prime is 31713989. The next prime is 31714013. The reversal of 31714000 is 41713.

It can be written as a sum of positive squares in 8 ways, for example, as 5253264 + 26460736 = 2292^2 + 5144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201922 + ... + 202078.

Almost surely, 2^31714000 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 31714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38968488).

31714000 is an abundant number, since it is smaller than the sum of its proper divisors (46222976).

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

31714000 is a wasteful number, since it uses less digits than its factorization.

31714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 31714000 is about 5631.5184453218. The cubic root of 31714000 is about 316.5315520839.

Adding to 31714000 its reverse (41713), we get a palindrome (31755713).

The spelling of 31714000 in words is "thirty-one million, seven hundred fourteen thousand".