82001205 has 48 divisors (see below), whose sum is σ = 166997376. Its totient is φ = 36696960.

The previous prime is 82001203. The next prime is 82001219. The reversal of 82001205 is 50210028.

It is not a de Polignac number, because 82001205 - 2¹ = 82001203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64 + ... + 12806.

It is an arithmetic number, because the mean of its divisors is an integer number (3479112).

Almost surely, 2^82001205 is an apocalyptic number.

It is an amenable number.

82001205 is an abundant number, since it is smaller than the sum of its proper divisors (84996171).

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

82001205 is a wasteful number, since it uses less digits than its factorization.

82001205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12778 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 82001205 is about 9055.4516728874. The cubic root of 82001205 is about 434.4502766559.

The spelling of 82001205 in words is "eighty-two million, one thousand, two hundred five".