123838321 has 2 divisors, whose sum is σ = 123838322. Its totient is φ = 123838320.

The previous prime is 123838313. The next prime is 123838331.

123838321 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120209296 + 3629025 = 10964^2 + 1905^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 123838321 - 2³ = 123838313 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (123838301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61919160 + 61919161.

It is an arithmetic number, because the mean of its divisors is an integer number (61919161).

Almost surely, 2^123838321 is an apocalyptic number.

It is an amenable number.

123838321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123838321 is an equidigital number, since it uses as much as digits as its factorization.

123838321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 31.

The square root of 123838321 is about 11128.2667563282. The cubic root of 123838321 is about 498.4462715234.

The spelling of 123838321 in words is "one hundred twenty-three million, eight hundred thirty-eight thousand, three hundred twenty-one".