82123533 has 12 divisors (see below), whose sum is σ = 121516668. Its totient is φ = 53413440.

The previous prime is 82123513. The next prime is 82123571. The reversal of 82123533 is 33532128.

82123533 is a `hidden beast` number, since 8 + 2 + 123 + 533 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1447209 + 80676324 = 1203^2 + 8982^2 .

It is not a de Polignac number, because 82123533 - 2¹² = 82119437 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82123497 and 82123506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82123513) 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 in 11 ways as a sum of consecutive naturals, for example, 110910 + ... + 111647.

It is an arithmetic number, because the mean of its divisors is an integer number (10126389).

Almost surely, 2^82123533 is an apocalyptic number.

It is an amenable number.

82123533 is a deficient number, since it is larger than the sum of its proper divisors (39393135).

82123533 is a wasteful number, since it uses less digits than its factorization.

82123533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222604 (or 222601 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 82123533 is about 9062.2035399786. The cubic root of 82123533 is about 434.6662044917. Note that the first 3 decimals are identical.

The spelling of 82123533 in words is "eighty-two million, one hundred twenty-three thousand, five hundred thirty-three".