123813817 has 2 divisors, whose sum is σ = 123813818. Its totient is φ = 123813816.

The previous prime is 123813799. The next prime is 123813827. The reversal of 123813817 is 718318321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121088016 + 2725801 = 11004^2 + 1651^2 .

It is a cyclic number.

It is not a de Polignac number, because 123813817 - 2¹¹ = 123811769 is a prime.

It is a super-2 number, since 2×123813817² = 30659722560218978, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123813827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61906908 + 61906909.

It is an arithmetic number, because the mean of its divisors is an integer number (61906909).

Almost surely, 2^123813817 is an apocalyptic number.

It is an amenable number.

123813817 is a deficient number, since it is larger than the sum of its proper divisors (1).

123813817 is an equidigital number, since it uses as much as digits as its factorization.

123813817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The square root of 123813817 is about 11127.1657217820. The cubic root of 123813817 is about 498.4133933507.

The spelling of 123813817 in words is "one hundred twenty-three million, eight hundred thirteen thousand, eight hundred seventeen".