15667 has 2 divisors, whose sum is σ = 15668. Its totient is φ = 15666.

The previous prime is 15661. The next prime is 15671. The reversal of 15667 is 76651.

15667 is nontrivially palindromic in base 8.

It is a strong prime.

It is an emirp because it is prime and its reverse (76651) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 15667 - 2¹¹ = 13619 is a prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (15661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7833 + 7834.

It is an arithmetic number, because the mean of its divisors is an integer number (7834).

15667 is a Friedman number, since it can be written as 5^6+7*6*1, using all its digits and the basic arithmetic operations.

2¹⁵⁶⁶⁷ is an apocalyptic number.

15667 is a deficient number, since it is larger than the sum of its proper divisors (1).

15667 is an equidigital number, since it uses as much as digits as its factorization.

15667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 15667 is about 125.1678872555. The cubic root of 15667 is about 25.0223799595.

The spelling of 15667 in words is "fifteen thousand, six hundred sixty-seven".