82509623 has 16 divisors (see below), whose sum is σ = 95634240. Its totient is φ = 69728256.

The previous prime is 82509613. The next prime is 82509641. The reversal of 82509623 is 32690528.

It is a cyclic number.

It is not a de Polignac number, because 82509623 - 2⁸ = 82509367 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82509613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211913 + ... + 212301.

It is an arithmetic number, because the mean of its divisors is an integer number (5977140).

Almost surely, 2^82509623 is an apocalyptic number.

82509623 is a deficient number, since it is larger than the sum of its proper divisors (13124617).

82509623 is a wasteful number, since it uses less digits than its factorization.

82509623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 82509623 is about 9083.4807755618. The cubic root of 82509623 is about 435.3463098589.

The spelling of 82509623 in words is "eighty-two million, five hundred nine thousand, six hundred twenty-three".