83785205 has 64 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 51093504.

The previous prime is 83785201. The next prime is 83785249. The reversal of 83785205 is 50258738.

It is not a de Polignac number, because 83785205 - 2² = 83785201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83785201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 863717 + ... + 863813.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^83785205 is an apocalyptic number.

It is an amenable number.

83785205 is a deficient number, since it is larger than the sum of its proper divisors (44916235).

83785205 is a wasteful number, since it uses less digits than its factorization.

83785205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 83785205 is about 9153.4258613920. The cubic root of 83785205 is about 437.5783021754.

The spelling of 83785205 in words is "eighty-three million, seven hundred eighty-five thousand, two hundred five".