31345000 has 40 divisors (see below), whose sum is σ = 73453050. Its totient is φ = 12536000.

The previous prime is 31344977. The next prime is 31345001. The reversal of 31345000 is 54313.

It can be written as a sum of positive squares in 5 ways, for example, as 7396 + 31337604 = 86^2 + 5598^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (31345001) 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 9 ways as a sum of consecutive naturals, for example, 1866 + ... + 8134.

Almost surely, 2^31345000 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 31345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36726525).

31345000 is an abundant number, since it is smaller than the sum of its proper divisors (42108050).

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

31345000 is an equidigital number, since it uses as much as digits as its factorization.

31345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 31345000 is about 5598.6605540968. The cubic root of 31345000 is about 315.2991195824.

Adding to 31345000 its reverse (54313), we get a palindrome (31399313).

The spelling of 31345000 in words is "thirty-one million, three hundred forty-five thousand".