83105825 has 36 divisors (see below), whose sum is σ = 114982224. Its totient is φ = 59532000.

The previous prime is 83105801. The next prime is 83105839. The reversal of 83105825 is 52850138.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-83105825 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83105791 and 83105800.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250910 + ... + 251240.

Almost surely, 2^83105825 is an apocalyptic number.

It is an amenable number.

83105825 is a deficient number, since it is larger than the sum of its proper divisors (31876399).

83105825 is a wasteful number, since it uses less digits than its factorization.

83105825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 83105825 is about 9116.2396304617. The cubic root of 83105825 is about 436.3923764149.

The spelling of 83105825 in words is "eighty-three million, one hundred five thousand, eight hundred twenty-five".