82123733 has 2 divisors, whose sum is σ = 82123734. Its totient is φ = 82123732.

The previous prime is 82123721. The next prime is 82123781. The reversal of 82123733 is 33732128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78464164 + 3659569 = 8858^2 + 1913^2 .

It is a cyclic number.

It is not a de Polignac number, because 82123733 - 2⁶ = 82123669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82123696 and 82123705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82123633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41061866 + 41061867.

It is an arithmetic number, because the mean of its divisors is an integer number (41061867).

Almost surely, 2^82123733 is an apocalyptic number.

It is an amenable number.

82123733 is a deficient number, since it is larger than the sum of its proper divisors (1).

82123733 is an equidigital number, since it uses as much as digits as its factorization.

82123733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 29.

The square root of 82123733 is about 9062.2145748156. The cubic root of 82123733 is about 434.6665573470. Note that the first 3 decimals are identical.

The spelling of 82123733 in words is "eighty-two million, one hundred twenty-three thousand, seven hundred thirty-three".