82629 has 6 divisors (see below), whose sum is σ = 119366. Its totient is φ = 55080.

The previous prime is 82619. The next prime is 82633. The reversal of 82629 is 92628.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 8100 = 273^2 + 90^2 .

It is not a de Polignac number, because 82629 - 2⁴ = 82613 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 (82609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4582 + ... + 4599.

2⁸²⁶²⁹ is an apocalyptic number.

It is an amenable number.

82629 is a deficient number, since it is larger than the sum of its proper divisors (36737).

82629 is a wasteful number, since it uses less digits than its factorization.

82629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187 (or 9184 counting only the distinct ones).

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

The square root of 82629 is about 287.4526047890. The cubic root of 82629 is about 43.5556165351. Note that the first 3 decimals are identical.

Subtracting 82629 from its reverse (92628), we obtain a palindrome (9999).

The spelling of 82629 in words is "eighty-two thousand, six hundred twenty-nine".