85629 has 16 divisors (see below), whose sum is σ = 127872. Its totient is φ = 50688.

The previous prime is 85627. The next prime is 85639. The reversal of 85629 is 92658.

It is not a de Polignac number, because 85629 - 2¹ = 85627 is a prime.

85629 is a modest number, since divided by 629 gives 85 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 85596 and 85605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

2⁸⁵⁶²⁹ is an apocalyptic number.

It is an amenable number.

85629 is a deficient number, since it is larger than the sum of its proper divisors (42243).

85629 is a wasteful number, since it uses less digits than its factorization.

85629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 4320, while the sum is 30.

The square root of 85629 is about 292.6243325494. The cubic root of 85629 is about 44.0764854253.

The spelling of 85629 in words is "eighty-five thousand, six hundred twenty-nine".