83629 has 8 divisors (see below), whose sum is σ = 103040. Its totient is φ = 66096.

The previous prime is 83621. The next prime is 83639. The reversal of 83629 is 92638.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83629 - 2³ = 83621 is a prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 83597 and 83606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (12880).

2⁸³⁶²⁹ is an apocalyptic number.

It is an amenable number.

83629 is a deficient number, since it is larger than the sum of its proper divisors (19411).

83629 is a wasteful number, since it uses less digits than its factorization.

83629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939.

The product of its digits is 2592, while the sum is 28.

The square root of 83629 is about 289.1867908463. The cubic root of 83629 is about 43.7306199879.

Subtracting 83629 from its reverse (92638), we obtain a palindrome (9009).

The spelling of 83629 in words is "eighty-three thousand, six hundred twenty-nine".