83055033 has 6 divisors (see below), whose sum is σ = 119968394. Its totient is φ = 55370016.

The previous prime is 83055031. The next prime is 83055083. The reversal of 83055033 is 33055038.

83055033 is a `hidden beast` number, since 83 + 0 + 550 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 30173049 = 7272^2 + 5493^2 .

It is not a de Polignac number, because 83055033 - 2¹ = 83055031 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83054988 and 83055006.

It is not an unprimeable number, because it can be changed into a prime (83055031) 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, 4614160 + ... + 4614177.

Almost surely, 2^83055033 is an apocalyptic number.

It is an amenable number.

83055033 is a deficient number, since it is larger than the sum of its proper divisors (36913361).

83055033 is a wasteful number, since it uses less digits than its factorization.

83055033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9228343 (or 9228340 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 83055033 is about 9113.4534069144. The cubic root of 83055033 is about 436.3034546146.

The spelling of 83055033 in words is "eighty-three million, fifty-five thousand, thirty-three".