111667 has 2 divisors, whose sum is σ = 111668. Its totient is φ = 111666.

The previous prime is 111659. The next prime is 111697. The reversal of 111667 is 766111.

It is a weak prime.

It is an emirp because it is prime and its reverse (766111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111667 - 2³ = 111659 is a prime.

It is a super-3 number, since 3×111667³ = 4177301297333889, which contains 333 as substring.

It is a Chen prime.

111667 is a lucky number.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (111637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55833 + 55834.

It is an arithmetic number, because the mean of its divisors is an integer number (55834).

2¹¹¹⁶⁶⁷ is an apocalyptic number.

111667 is a deficient number, since it is larger than the sum of its proper divisors (1).

111667 is an equidigital number, since it uses as much as digits as its factorization.

111667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 22.

The square root of 111667 is about 334.1661263504. The cubic root of 111667 is about 48.1550253965.

Adding to 111667 its reverse (766111), we get a palindrome (877778).

The spelling of 111667 in words is "one hundred eleven thousand, six hundred sixty-seven".