83680033 has 2 divisors, whose sum is σ = 83680034. Its totient is φ = 83680032.

The previous prime is 83680031. The next prime is 83680043. The reversal of 83680033 is 33008638.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68757264 + 14922769 = 8292^2 + 3863^2 .

It is a cyclic number.

It is not a de Polignac number, because 83680033 - 2¹ = 83680031 is a prime.

Together with 83680031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 83679977 and 83680004.

It is not a weakly prime, because it can be changed into another prime (83680031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41840016 + 41840017.

It is an arithmetic number, because the mean of its divisors is an integer number (41840017).

Almost surely, 2^83680033 is an apocalyptic number.

It is an amenable number.

83680033 is a deficient number, since it is larger than the sum of its proper divisors (1).

83680033 is an equidigital number, since it uses as much as digits as its factorization.

83680033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 83680033 is about 9147.6791045598. The cubic root of 83680033 is about 437.3951343767.

The spelling of 83680033 in words is "eighty-three million, six hundred eighty thousand, thirty-three".