8307972 has 36 divisors (see below), whose sum is σ = 21244860. Its totient is φ = 2737152.

The previous prime is 8307961. The next prime is 8307977. The reversal of 8307972 is 2797038.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 5089536 = 1794^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8307977) 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 11 ways as a sum of consecutive naturals, for example, 1908 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (590135).

Almost surely, 2^8307972 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 8307972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622430).

8307972 is an abundant number, since it is smaller than the sum of its proper divisors (12936888).

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

8307972 is a wasteful number, since it uses less digits than its factorization.

8307972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8307972 is about 2882.3552869138. The cubic root of 8307972 is about 202.5341871864.

The spelling of 8307972 in words is "eight million, three hundred seven thousand, nine hundred seventy-two".