123806353 has 12 divisors (see below), whose sum is σ = 136860724. Its totient is φ = 111909600.

The previous prime is 123806297. The next prime is 123806377. The reversal of 123806353 is 353608321.

It can be written as a sum of positive squares in 2 ways, for example, as 39037504 + 84768849 = 6248^2 + 9207^2 .

It is not a de Polignac number, because 123806353 - 2⁹ = 123805841 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (123806153) 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 11 ways as a sum of consecutive naturals, for example, 19075 + ... + 24727.

Almost surely, 2^123806353 is an apocalyptic number.

It is an amenable number.

123806353 is a deficient number, since it is larger than the sum of its proper divisors (13054371).

123806353 is a wasteful number, since it uses less digits than its factorization.

123806353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 123806353 is about 11126.8303213449. The cubic root of 123806353 is about 498.4033776879.

The spelling of 123806353 in words is "one hundred twenty-three million, eight hundred six thousand, three hundred fifty-three".