82001633 has 8 divisors (see below), whose sum is σ = 93777600. Its totient is φ = 70241040.

The previous prime is 82001627. The next prime is 82001639. The reversal of 82001633 is 33610028.

It is an interprime number because it is at equal distance from previous prime (82001627) and next prime (82001639).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82001633 - 2⁸ = 82001377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82001599 and 82001608.

It is not an unprimeable number, because it can be changed into a prime (82001639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11903 + ... + 17483.

It is an arithmetic number, because the mean of its divisors is an integer number (11722200).

Almost surely, 2^82001633 is an apocalyptic number.

It is an amenable number.

82001633 is a deficient number, since it is larger than the sum of its proper divisors (11775967).

82001633 is a wasteful number, since it uses less digits than its factorization.

82001633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 82001633 is about 9055.4753050295. The cubic root of 82001633 is about 434.4510325164.

The spelling of 82001633 in words is "eighty-two million, one thousand, six hundred thirty-three".