123507 has 6 divisors (see below), whose sum is σ = 178412. Its totient is φ = 82332.

The previous prime is 123503. The next prime is 123517. The reversal of 123507 is 705321.

Added to its reverse (705321) it gives a triangular number (828828 = T₁₂₈₇).

123507 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 123507 - 2² = 123503 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123507.

It is not an unprimeable number, because it can be changed into a prime (123503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6853 + ... + 6870.

2¹²³⁵⁰⁷ is an apocalyptic number.

123507 is a deficient number, since it is larger than the sum of its proper divisors (54905).

123507 is a wasteful number, since it uses less digits than its factorization.

123507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13729 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 123507 is about 351.4356271069. The cubic root of 123507 is about 49.8001354813.

Adding to 123507 its reverse (705321), we get a palindrome (828828).

It can be divided in two parts, 123 and 507, that added together give a triangular number (630 = T₃₅).

The spelling of 123507 in words is "one hundred twenty-three thousand, five hundred seven".