83205309905 has 8 divisors (see below), whose sum is σ = 103067222784. Its totient is φ = 64417014000.

The previous prime is 83205309857. The next prime is 83205309907. The reversal of 83205309905 is 50990350238.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83205309905 - 2¹⁰ = 83205308881 is a prime.

It is a super-2 number, since 2×83205309905² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83205309907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268404071 + ... + 268404380.

It is an arithmetic number, because the mean of its divisors is an integer number (12883402848).

Almost surely, 2^83205309905 is an apocalyptic number.

It is an amenable number.

83205309905 is a deficient number, since it is larger than the sum of its proper divisors (19861912879).

83205309905 is a wasteful number, since it uses less digits than its factorization.

83205309905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536808487.

The product of its (nonzero) digits is 291600, while the sum is 44.

The spelling of 83205309905 in words is "eighty-three billion, two hundred five million, three hundred nine thousand, nine hundred five".