22627 has 8 divisors (see below), whose sum is σ = 26352. Its totient is φ = 19360.

The previous prime is 22621. The next prime is 22637. The reversal of 22627 is 72622.

It can be divided in two parts, 226 and 27, that added together give a triangular number (253 = T_{22}).

It is a happy number.

It is not a de Polignac number, because 22627 - 2^{3} = 22619 is a prime.

It is a super-2 number, since 2×22627^{2} = 1023962258, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (336) is a multiple of the sum of its prime divisors (28).

22627 is a lucky number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (22621) 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 7 ways as a sum of consecutive naturals, for example, 1323 + ... + 1339.

It is an arithmetic number, because the mean of its divisors is an integer number (3294).

2^{22627} is an apocalyptic number.

22627 is a deficient number, since it is larger than the sum of its proper divisors (3725).

22627 is an equidigital number, since it uses as much as digits as its factorization.

22627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 22627 is about 150.4227376430. The cubic root of 22627 is about 28.2840974972.

The spelling of 22627 in words is "twenty-two thousand, six hundred twenty-seven".

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