82633 has 2 divisors, whose sum is σ = 82634. Its totient is φ = 82632.

The previous prime is 82619. The next prime is 82651. The reversal of 82633 is 33628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 8649 = 272^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 82633 - 2⁵ = 82601 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82633.

It is not a weakly prime, because it can be changed into another prime (82613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41316 + 41317.

It is an arithmetic number, because the mean of its divisors is an integer number (41317).

2⁸²⁶³³ is an apocalyptic number.

It is an amenable number.

82633 is a deficient number, since it is larger than the sum of its proper divisors (1).

82633 is an equidigital number, since it uses as much as digits as its factorization.

82633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 22.

The square root of 82633 is about 287.4595623736. The cubic root of 82633 is about 43.5563193539.

The spelling of 82633 in words is "eighty-two thousand, six hundred thirty-three".