83825712 has 80 divisors (see below), whose sum is σ = 244632160. Its totient is φ = 27475200.

The previous prime is 83825671. The next prime is 83825723. The reversal of 83825712 is 21752838.

83825712 is a `hidden beast` number, since 8 + 3 + 82 + 571 + 2 = 666.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24762 + ... + 27942.

It is an arithmetic number, because the mean of its divisors is an integer number (3057902).

Almost surely, 2^83825712 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 83825712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122316080).

83825712 is an abundant number, since it is smaller than the sum of its proper divisors (160806448).

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

83825712 is a wasteful number, since it uses less digits than its factorization.

83825712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3247 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 83825712 is about 9155.6382628411. The cubic root of 83825712 is about 437.6488083728.

The spelling of 83825712 in words is "eighty-three million, eight hundred twenty-five thousand, seven hundred twelve".