13677 has 8 divisors (see below), whose sum is σ = 18816. Its totient is φ = 8832.

The previous prime is 13669. The next prime is 13679. The reversal of 13677 is 77631.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13677 - 2^{3} = 13669 is a prime.

It is an Ulam number.

Its product of digits (882) is a multiple of the sum of its prime divisors (147).

13677 is a lucky number.

It is a plaindrome in base 10 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 13677.

It is not an unprimeable number, because it can be changed into a prime (13679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2^{13677} is an apocalyptic number.

It is an amenable number.

13677 is a deficient number, since it is larger than the sum of its proper divisors (5139).

13677 is an equidigital number, since it uses as much as digits as its factorization.

13677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147.

The product of its digits is 882, while the sum is 24.

The square root of 13677 is about 116.9487067051. The cubic root of 13677 is about 23.9146272277.

The spelling of 13677 in words is "thirteen thousand, six hundred seventy-seven".

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