31132000 has 96 divisors (see below), whose sum is σ = 78702624. Its totient is φ = 12096000.

The previous prime is 31131979. The next prime is 31132027. The reversal of 31132000 is 23113.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171910 + ... + 172090.

It is an arithmetic number, because the mean of its divisors is an integer number (819819).

Almost surely, 2^31132000 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 31132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39351312).

31132000 is an abundant number, since it is smaller than the sum of its proper divisors (47570624).

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

31132000 is a wasteful number, since it uses less digits than its factorization.

31132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 31132000 is about 5579.6057208373. The cubic root of 31132000 is about 314.5833072623.

Adding to 31132000 its reverse (23113), we get a palindrome (31155113).

The spelling of 31132000 in words is "thirty-one million, one hundred thirty-two thousand".