82789629 has 16 divisors (see below), whose sum is σ = 119048832. Its totient is φ = 50874048.

The previous prime is 82789613. The next prime is 82789633. The reversal of 82789629 is 92698728.

It is a happy number.

It is not a de Polignac number, because 82789629 - 2⁴ = 82789613 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82789699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40459 + ... + 42455.

It is an arithmetic number, because the mean of its divisors is an integer number (7440552).

Almost surely, 2^82789629 is an apocalyptic number.

It is an amenable number.

82789629 is a deficient number, since it is larger than the sum of its proper divisors (36259203).

82789629 is a wasteful number, since it uses less digits than its factorization.

82789629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076.

The product of its digits is 870912, while the sum is 51.

The square root of 82789629 is about 9098.8806454421. The cubic root of 82789629 is about 435.8382199349.

Subtracting 82789629 from its reverse (92698728), we obtain a palindrome (9909099).

The spelling of 82789629 in words is "eighty-two million, seven hundred eighty-nine thousand, six hundred twenty-nine".