307825938 has 72 divisors (see below), whose sum is σ = 778627980. Its totient is φ = 87635520.

The previous prime is 307825937. The next prime is 307825943. The reversal of 307825938 is 839528703.

It can be written as a sum of positive squares in 2 ways, for example, as 277322409 + 30503529 = 16653^2 + 5523^2 .

It is a junction number, because it is equal to n+sod(n) for n = 307825893 and 307825902.

It is not an unprimeable number, because it can be changed into a prime (307825933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 370908 + ... + 371736.

Almost surely, 2^307825938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307825938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389313990).

307825938 is an abundant number, since it is smaller than the sum of its proper divisors (470802042).

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

307825938 is a wasteful number, since it uses less digits than its factorization.

307825938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 307825938 is about 17544.9690224862. The cubic root of 307825938 is about 675.2040995971.

The spelling of 307825938 in words is "three hundred seven million, eight hundred twenty-five thousand, nine hundred thirty-eight".