8253972 has 36 divisors (see below), whose sum is σ = 21059220. Its totient is φ = 2725632.

The previous prime is 8253953. The next prime is 8253977. The reversal of 8253972 is 2793528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4309776 + 3944196 = 2076^2 + 1986^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8253977) 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 11 ways as a sum of consecutive naturals, for example, 3054 + ... + 5082.

Almost surely, 2^8253972 is an apocalyptic number.

It is an amenable number.

8253972 is an abundant number, since it is smaller than the sum of its proper divisors (12805248).

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

8253972 is a wasteful number, since it uses less digits than its factorization.

8253972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2147 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 8253972 is about 2872.9726765147. The cubic root of 8253972 is about 202.0944237179.

The spelling of 8253972 in words is "eight million, two hundred fifty-three thousand, nine hundred seventy-two".