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26627 is a prime number
BaseRepresentation
bin110100000000011
31100112012
412200003
51323002
6323135
7140426
oct64003
940465
1026627
1119007
12134ab
13c173
1499bd
157d52
hex6803

26627 has 2 divisors, whose sum is σ = 26628. Its totient is φ = 26626.

The previous prime is 26597. The next prime is 26633. The reversal of 26627 is 72662.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 26627 - 28 = 26371 is a prime.

It is a Chen prime.

It is a plaindrome in base 12 and base 14.

It is not a weakly prime, because it can be changed into another prime (26647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13313 + 13314.

It is an arithmetic number, because the mean of its divisors is an integer number (13314).

226627 is an apocalyptic number.

26627 is a deficient number, since it is larger than the sum of its proper divisors (1).

26627 is an equidigital number, since it uses as much as digits as its factorization.

26627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 23.

The square root of 26627 is about 163.1778171199. The cubic root of 26627 is about 29.8612107602.

The spelling of 26627 in words is "twenty-six thousand, six hundred twenty-seven".