81627 has 24 divisors (see below), whose sum is σ = 140544. Its totient is φ = 41184.

The previous prime is 81619. The next prime is 81629. The reversal of 81627 is 72618.

It is not a de Polignac number, because 81627 - 2³ = 81619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81597 and 81606.

It is not an unprimeable number, because it can be changed into a prime (81629) 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, 3538 + ... + 3560.

It is an arithmetic number, because the mean of its divisors is an integer number (5856).

2⁸¹⁶²⁷ is an apocalyptic number.

81627 is a deficient number, since it is larger than the sum of its proper divisors (58917).

81627 is a wasteful number, since it uses less digits than its factorization.

81627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 81627 is about 285.7043926859. The cubic root of 81627 is about 43.3788410809.

Subtracting from 81627 its reverse (72618), we obtain a palindrome (9009).

The spelling of 81627 in words is "eighty-one thousand, six hundred twenty-seven".