31172000 has 48 divisors (see below), whose sum is σ = 76599432. Its totient is φ = 12467200.

The previous prime is 31171993. The next prime is 31172039. The reversal of 31172000 is 27113.

It can be written as a sum of positive squares in 4 ways, for example, as 18696976 + 12475024 = 4324^2 + 3532^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 7896.

Almost surely, 2^31172000 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 31172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38299716).

31172000 is an abundant number, since it is smaller than the sum of its proper divisors (45427432).

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

31172000 is an equidigital number, since it uses as much as digits as its factorization.

31172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 31172000 is about 5583.1890528622. The cubic root of 31172000 is about 314.7179805556.

Adding to 31172000 its reverse (27113), we get a palindrome (31199113).

The spelling of 31172000 in words is "thirty-one million, one hundred seventy-two thousand".