31201000 has 64 divisors (see below), whose sum is σ = 74889360. Its totient is φ = 12160000.

The previous prime is 31200991. The next prime is 31201007. The reversal of 31201000 is 10213.

It can be written as a sum of positive squares in 8 ways, for example, as 6380676 + 24820324 = 2526^2 + 4982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201007) 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, 40620 + ... + 41380.

Almost surely, 2^31201000 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 31201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37444680).

31201000 is an abundant number, since it is smaller than the sum of its proper divisors (43688360).

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

31201000 is a wasteful number, since it uses less digits than its factorization.

31201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 31201000 is about 5585.7855311496. The cubic root of 31201000 is about 314.8155466684.

Adding to 31201000 its reverse (10213), we get a palindrome (31211213).

The spelling of 31201000 in words is "thirty-one million, two hundred one thousand".