83000205 has 24 divisors (see below), whose sum is σ = 152331192. Its totient is φ = 41662464.

The previous prime is 83000179. The next prime is 83000231. The reversal of 83000205 is 50200038.

It is an interprime number because it is at equal distance from previous prime (83000179) and next prime (83000231).

It can be written as a sum of positive squares in 4 ways, for example, as 43837641 + 39162564 = 6621^2 + 6258^2 .

It is not a de Polignac number, because 83000205 - 2¹⁰ = 82999181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53484 + ... + 55013.

It is an arithmetic number, because the mean of its divisors is an integer number (6347133).

Almost surely, 2^83000205 is an apocalyptic number.

83000205 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83000205 is a deficient number, since it is larger than the sum of its proper divisors (69330987).

83000205 is a wasteful number, since it uses less digits than its factorization.

83000205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108525 (or 108522 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 83000205 is about 9110.4448299740. Note that the first 3 decimals coincide. The cubic root of 83000205 is about 436.2074262715.

The spelling of 83000205 in words is "eighty-three million, two hundred five", and thus it is an aban number.