83013305 has 8 divisors (see below), whose sum is σ = 99737352. Its totient is φ = 66329728.

The previous prime is 83013289. The next prime is 83013323. The reversal of 83013305 is 50331038.

It can be written as a sum of positive squares in 4 ways, for example, as 16883881 + 66129424 = 4109^2 + 8132^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 83013305 - 2⁴ = 83013289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5402 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (12467169).

Almost surely, 2^83013305 is an apocalyptic number.

It is an amenable number.

83013305 is a deficient number, since it is larger than the sum of its proper divisors (16724047).

83013305 is a wasteful number, since it uses less digits than its factorization.

83013305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20235.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 83013305 is about 9111.1637566230. The cubic root of 83013305 is about 436.2303740730.

The spelling of 83013305 in words is "eighty-three million, thirteen thousand, three hundred five".