83305263 has 16 divisors (see below), whose sum is σ = 112939520. Its totient is φ = 54609984.

The previous prime is 83305231. The next prime is 83305283. The reversal of 83305263 is 36250338.

It is not a de Polignac number, because 83305263 - 2⁵ = 83305231 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83305263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83305213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73620 + ... + 74742.

It is an arithmetic number, because the mean of its divisors is an integer number (7058720).

Almost surely, 2^83305263 is an apocalyptic number.

83305263 is a deficient number, since it is larger than the sum of its proper divisors (29634257).

83305263 is a wasteful number, since it uses less digits than its factorization.

83305263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 83305263 is about 9127.1716867823. The cubic root of 83305263 is about 436.7411834708.

The spelling of 83305263 in words is "eighty-three million, three hundred five thousand, two hundred sixty-three".