82129023 has 12 divisors (see below), whose sum is σ = 125609328. Its totient is φ = 51531840.

The previous prime is 82128983. The next prime is 82129043. The reversal of 82129023 is 32092128.

It is a happy number.

It is not a de Polignac number, because 82129023 - 2⁹ = 82128511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268243 + ... + 268548.

It is an arithmetic number, because the mean of its divisors is an integer number (10467444).

Almost surely, 2^82129023 is an apocalyptic number.

82129023 is a deficient number, since it is larger than the sum of its proper divisors (43480305).

82129023 is a wasteful number, since it uses less digits than its factorization.

82129023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536814 (or 536811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82129023 is about 9062.5064413770. The cubic root of 82129023 is about 434.6758901616.

The spelling of 82129023 in words is "eighty-two million, one hundred twenty-nine thousand, twenty-three".