31193000 has 32 divisors (see below), whose sum is σ = 72993960. Its totient is φ = 12476800.

The previous prime is 31192999. The next prime is 31193023. The reversal of 31193000 is 39113.

It can be written as a sum of positive squares in 4 ways, for example, as 9084196 + 22108804 = 3014^2 + 4702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31193000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14597 + ... + 16596.

Almost surely, 2^31193000 is an apocalyptic number.

It is an amenable number.

31193000 is an abundant number, since it is smaller than the sum of its proper divisors (41800960).

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

31193000 is a wasteful number, since it uses less digits than its factorization.

31193000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31214 (or 31200 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 31193000 is about 5585.0693818430. The cubic root of 31193000 is about 314.7886379191.

The spelling of 31193000 in words is "thirty-one million, one hundred ninety-three thousand".