82006023 has 32 divisors (see below), whose sum is σ = 125199360. Its totient is φ = 47295360.

The previous prime is 82006009. The next prime is 82006037. The reversal of 82006023 is 32060028.

It is an interprime number because it is at equal distance from previous prime (82006009) and next prime (82006037).

It is not a de Polignac number, because 82006023 - 2⁵ = 82005991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82006003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56673 + ... + 58101.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 2^82006023 is an apocalyptic number.

82006023 is a deficient number, since it is larger than the sum of its proper divisors (43193337).

82006023 is a wasteful number, since it uses less digits than its factorization.

82006023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 82006023 is about 9055.7176965716. The cubic root of 82006023 is about 434.4587852319.

The spelling of 82006023 in words is "eighty-two million, six thousand, twenty-three".