123913 has 8 divisors (see below), whose sum is σ = 135432. Its totient is φ = 112896.

The previous prime is 123911. The next prime is 123923. The reversal of 123913 is 319321.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 26569 = 312^2 + 163^2 .

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 123913 - 2¹ = 123911 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (123911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (16929).

2¹²³⁹¹³ is an apocalyptic number.

It is an amenable number.

123913 is a deficient number, since it is larger than the sum of its proper divisors (11519).

123913 is a wasteful number, since it uses less digits than its factorization.

123913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 162, while the sum is 19.

The square root of 123913 is about 352.0127838588. The cubic root of 123913 is about 49.8546445118.

It can be divided in two parts, 12391 and 3, that multiplied together give a palindrome (37173).

The spelling of 123913 in words is "one hundred twenty-three thousand, nine hundred thirteen".