133583993 has 2 divisors, whose sum is σ = 133583994. Its totient is φ = 133583992.

The previous prime is 133583981. The next prime is 133584001. The reversal of 133583993 is 399385331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77228944 + 56355049 = 8788^2 + 7507^2 .

It is an emirp because it is prime and its reverse (399385331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133583993 - 2²⁴ = 116806777 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (133583693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66791996 + 66791997.

It is an arithmetic number, because the mean of its divisors is an integer number (66791997).

Almost surely, 2^133583993 is an apocalyptic number.

It is an amenable number.

133583993 is a deficient number, since it is larger than the sum of its proper divisors (1).

133583993 is an equidigital number, since it uses as much as digits as its factorization.

133583993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 262440, while the sum is 44.

The square root of 133583993 is about 11557.8541693517. The cubic root of 133583993 is about 511.1928926355.

The spelling of 133583993 in words is "one hundred thirty-three million, five hundred eighty-three thousand, nine hundred ninety-three".