83253312 has 56 divisors (see below), whose sum is σ = 244754400. Its totient is φ = 27750528.

The previous prime is 83253311. The next prime is 83253347. The reversal of 83253312 is 21335238.

83253312 is a `hidden beast` number, since 8 + 325 + 331 + 2 = 666.

It is a super-2 number, since 2×83253312² = 13862227917938688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83253311) 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 7 ways as a sum of consecutive naturals, for example, 22362 + ... + 25817.

Almost surely, 2^83253312 is an apocalyptic number.

It is an amenable number.

83253312 is an abundant number, since it is smaller than the sum of its proper divisors (161501088).

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

83253312 is a wasteful number, since it uses less digits than its factorization.

83253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48200 (or 48184 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 83253312 is about 9124.3252901242. The cubic root of 83253312 is about 436.6503774460.

The spelling of 83253312 in words is "eighty-three million, two hundred fifty-three thousand, three hundred twelve".