123667 has 2 divisors, whose sum is σ = 123668. Its totient is φ = 123666.

The previous prime is 123661. The next prime is 123677. The reversal of 123667 is 766321.

It is a weak prime.

It is an emirp because it is prime and its reverse (766321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123667 is a prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (123661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61833 + 61834.

It is an arithmetic number, because the mean of its divisors is an integer number (61834).

2¹²³⁶⁶⁷ is an apocalyptic number.

123667 is a deficient number, since it is larger than the sum of its proper divisors (1).

123667 is an equidigital number, since it uses as much as digits as its factorization.

123667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 123667 is about 351.6631911361. The cubic root of 123667 is about 49.8216311141.

Adding to 123667 its reverse (766321), we get a palindrome (889988).

The spelling of 123667 in words is "one hundred twenty-three thousand, six hundred sixty-seven".