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13027 = 71861
BaseRepresentation
bin11001011100011
3122212111
43023203
5404102
6140151
752660
oct31343
918774
1013027
119873
127657
135c11
144a67
153cd7
hex32e3

13027 has 4 divisors (see below), whose sum is σ = 14896. Its totient is φ = 11160.

The previous prime is 13009. The next prime is 13033. The reversal of 13027 is 72031.

13027 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13027 - 27 = 12899 is a prime.

13027 is a modest number, since divided by 27 gives 13 as remainder.

13027 is a lucky number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12998 and 13016.

It is not an unprimeable number, because it can be changed into a prime (13007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 924 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

213027 is an apocalyptic number.

13027 is a deficient number, since it is larger than the sum of its proper divisors (1869).

13027 is an equidigital number, since it uses as much as digits as its factorization.

13027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13027 is about 114.1358839279. The cubic root of 13027 is about 23.5296140914.

Adding to 13027 its reverse (72031), we get a palindrome (85058).

The spelling of 13027 in words is "thirteen thousand, twenty-seven".

Divisors: 1 7 1861 13027