31252000 has 96 divisors (see below), whose sum is σ = 82830384. Its totient is φ = 11520000.

The previous prime is 31251989. The next prime is 31252007. The reversal of 31252000 is 25213.

It can be written as a sum of positive squares in 8 ways, for example, as 913936 + 30338064 = 956^2 + 5508^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (31252007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51700 + ... + 52300.

Almost surely, 2^31252000 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 31252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41415192).

31252000 is an abundant number, since it is smaller than the sum of its proper divisors (51578384).

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

31252000 is a wasteful number, since it uses less digits than its factorization.

31252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 31252000 is about 5590.3488263256. The cubic root of 31252000 is about 314.9869819093.

Adding to 31252000 its reverse (25213), we get a palindrome (31277213).

It can be divided in two parts, 3125 and 2000, that multiplied together give a 4-th power (6250000 = 50⁴).

The spelling of 31252000 in words is "thirty-one million, two hundred fifty-two thousand".