82723633 has 2 divisors, whose sum is σ = 82723634. Its totient is φ = 82723632.

The previous prime is 82723603. The next prime is 82723657. The reversal of 82723633 is 33632728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74097664 + 8625969 = 8608^2 + 2937^2 .

It is a cyclic number.

It is not a de Polignac number, because 82723633 - 2²⁵ = 49169201 is a prime.

It is not a weakly prime, because it can be changed into another prime (82723603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41361816 + 41361817.

It is an arithmetic number, because the mean of its divisors is an integer number (41361817).

Almost surely, 2^82723633 is an apocalyptic number.

It is an amenable number.

82723633 is a deficient number, since it is larger than the sum of its proper divisors (1).

82723633 is an equidigital number, since it uses as much as digits as its factorization.

82723633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 34.

The square root of 82723633 is about 9095.2533224754. The cubic root of 82723633 is about 435.7223792356.

The spelling of 82723633 in words is "eighty-two million, seven hundred twenty-three thousand, six hundred thirty-three".