123967 has 4 divisors (see below), whose sum is σ = 126360. Its totient is φ = 121576.

The previous prime is 123953. The next prime is 123973. The reversal of 123967 is 769321.

123967 is nontrivially palindromic in base 11.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769321 = 7 ⋅109903.

It is a cyclic number.

It is not a de Polignac number, because 123967 - 2¹⁵ = 91199 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1117 + ... + 1222.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2¹²³⁹⁶⁷ is an apocalyptic number.

123967 is a deficient number, since it is larger than the sum of its proper divisors (2393).

123967 is an equidigital number, since it uses as much as digits as its factorization.

123967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392.

The product of its digits is 2268, while the sum is 28.

The square root of 123967 is about 352.0894772639. The cubic root of 123967 is about 49.8618855057.

It can be divided in two parts, 12396 and 7, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 123967 in words is "one hundred twenty-three thousand, nine hundred sixty-seven".