123367 has 8 divisors (see below), whose sum is σ = 133760. Its totient is φ = 113400.

The previous prime is 123341. The next prime is 123373. The reversal of 123367 is 763321.

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

It is a cyclic number.

It is not a de Polignac number, because 123367 - 2⁷ = 123239 is a prime.

123367 is a lucky number.

It is a plaindrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123307) 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 7 ways as a sum of consecutive naturals, for example, 742 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (16720).

2¹²³³⁶⁷ is an apocalyptic number.

123367 is a deficient number, since it is larger than the sum of its proper divisors (10393).

123367 is a wasteful number, since it uses less digits than its factorization.

123367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its digits is 756, while the sum is 22.

The square root of 123367 is about 351.2363876366. The cubic root of 123367 is about 49.7813115686.

Adding to 123367 its reverse (763321), we get a palindrome (886688).

It can be divided in two parts, 12 and 3367, that multiplied together give a palindrome (40404).

The spelling of 123367 in words is "one hundred twenty-three thousand, three hundred sixty-seven".