83306273 has 6 divisors (see below), whose sum is σ = 88495206. Its totient is φ = 78405632.

The previous prime is 83306261. The next prime is 83306291. The reversal of 83306273 is 37260338.

It can be written as a sum of positive squares in 3 ways, for example, as 60715264 + 22591009 = 7792^2 + 4753^2 .

It is not a de Polignac number, because 83306273 - 2⁴ = 83306257 is a prime.

It is a Duffinian number.

83306273 is a modest number, since divided by 6273 gives 833 as remainder.

It is not an unprimeable number, because it can be changed into a prime (83306233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143840 + ... + 144417.

It is an arithmetic number, because the mean of its divisors is an integer number (14749201).

Almost surely, 2^83306273 is an apocalyptic number.

It is an amenable number.

83306273 is a deficient number, since it is larger than the sum of its proper divisors (5188933).

83306273 is a wasteful number, since it uses less digits than its factorization.

83306273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288291 (or 288274 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 83306273 is about 9127.2270159123. The cubic root of 83306273 is about 436.7429484926.

The spelling of 83306273 in words is "eighty-three million, three hundred six thousand, two hundred seventy-three".