82117629 has 24 divisors (see below), whose sum is σ = 132560064. Its totient is φ = 48552000.

The previous prime is 82117621. The next prime is 82117643. The reversal of 82117629 is 92671128.

82117629 is a `hidden beast` number, since 8 + 21 + 1 + 7 + 629 = 666.

It is not a de Polignac number, because 82117629 - 2³ = 82117621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82117593 and 82117602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82117621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057 + ... + 14174.

It is an arithmetic number, because the mean of its divisors is an integer number (5523336).

Almost surely, 2^82117629 is an apocalyptic number.

It is an amenable number.

82117629 is a deficient number, since it is larger than the sum of its proper divisors (50442435).

82117629 is a wasteful number, since it uses less digits than its factorization.

82117629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20289 (or 20286 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 82117629 is about 9061.8777855365. The cubic root of 82117629 is about 434.6557879453.

It can be divided in two parts, 82 and 117629, that added together give a palindrome (117711).

The spelling of 82117629 in words is "eighty-two million, one hundred seventeen thousand, six hundred twenty-nine".