83229633 has 24 divisors (see below), whose sum is σ = 130149600. Its totient is φ = 52559928.

The previous prime is 83229607. The next prime is 83229659. The reversal of 83229633 is 33692238.

It is an interprime number because it is at equal distance from previous prime (83229607) and next prime (83229659).

It is not a de Polignac number, because 83229633 - 2²⁴ = 66452417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83229533) 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 in 23 ways as a sum of consecutive naturals, for example, 5478 + ... + 14016.

It is an arithmetic number, because the mean of its divisors is an integer number (5422900).

Almost surely, 2^83229633 is an apocalyptic number.

It is an amenable number.

83229633 is a deficient number, since it is larger than the sum of its proper divisors (46919967).

83229633 is a wasteful number, since it uses less digits than its factorization.

83229633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8561 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 83229633 is about 9123.0276224508. The cubic root of 83229633 is about 436.6089759912.

It can be divided in two parts, 8322 and 9633, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 83229633 in words is "eighty-three million, two hundred twenty-nine thousand, six hundred thirty-three".