83005825 has 12 divisors (see below), whose sum is σ = 117631360. Its totient is φ = 56918160.

The previous prime is 83005823. The next prime is 83005829. The reversal of 83005825 is 52850038.

It is not a de Polignac number, because 83005825 - 2¹ = 83005823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83005823) 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, 236985 + ... + 237334.

Almost surely, 2^83005825 is an apocalyptic number.

It is an amenable number.

83005825 is a deficient number, since it is larger than the sum of its proper divisors (34625535).

83005825 is a wasteful number, since it uses less digits than its factorization.

83005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474336 (or 474331 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 83005825 is about 9110.7532619427. The cubic root of 83005825 is about 436.2172713492.

The spelling of 83005825 in words is "eighty-three million, five thousand, eight hundred twenty-five".