83264033 has 2 divisors, whose sum is σ = 83264034. Its totient is φ = 83264032.

The previous prime is 83264009. The next prime is 83264053. The reversal of 83264033 is 33046238.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82864609 + 399424 = 9103^2 + 632^2 .

It is a cyclic number.

It is not a de Polignac number, because 83264033 - 2⁶ = 83263969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83263987 and 83264005.

It is not a weakly prime, because it can be changed into another prime (83264003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41632016 + 41632017.

It is an arithmetic number, because the mean of its divisors is an integer number (41632017).

Almost surely, 2^83264033 is an apocalyptic number.

It is an amenable number.

83264033 is a deficient number, since it is larger than the sum of its proper divisors (1).

83264033 is an equidigital number, since it uses as much as digits as its factorization.

83264033 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 29.

The square root of 83264033 is about 9124.9127667063. The cubic root of 83264033 is about 436.6691199546.

The spelling of 83264033 in words is "eighty-three million, two hundred sixty-four thousand, thirty-three".