21627 has 12 divisors (see below), whose sum is σ = 32760. Its totient is φ = 14256.

The previous prime is 21617. The next prime is 21647. The reversal of 21627 is 72612.

It is a happy number.

It is not a de Polignac number, because 21627 - 2⁴ = 21611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2²¹⁶²⁷ is an apocalyptic number.

21627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21627 is a deficient number, since it is larger than the sum of its proper divisors (11133).

21627 is an frugal number, since it uses more digits than its factorization.

21627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 21627 is about 147.0612117453. The cubic root of 21627 is about 27.8611321421.

Subtracting from 21627 its sum of digits (18), we obtain a square (21609 = 147²).

It can be divided in two parts, 216 and 27, that multiplied together give a cube (5832 = 18³).

The spelling of 21627 in words is "twenty-one thousand, six hundred twenty-seven".