123233409 has 24 divisors (see below), whose sum is σ = 192074792. Its totient is φ = 75686400.

The previous prime is 123233387. The next prime is 123233431. The reversal of 123233409 is 904332321.

It is a happy number.

123233409 is a `hidden beast` number, since 1 + 23 + 233 + 409 = 666.

It is an interprime number because it is at equal distance from previous prime (123233387) and next prime (123233431).

It can be written as a sum of positive squares in 4 ways, for example, as 23409 + 123210000 = 153^2 + 11100^2 .

It is not a de Polignac number, because 123233409 - 2⁵ = 123233377 is a prime.

It is a super-2 number, since 2×123233409² = 30372946187522562, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123233489) 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 23 ways as a sum of consecutive naturals, for example, 102009 + ... + 103209.

Almost surely, 2^123233409 is an apocalyptic number.

It is an amenable number.

123233409 is a deficient number, since it is larger than the sum of its proper divisors (68841383).

123233409 is a wasteful number, since it uses less digits than its factorization.

123233409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 123233409 is about 11101.0544093793. The cubic root of 123233409 is about 497.6333610475.

The spelling of 123233409 in words is "one hundred twenty-three million, two hundred thirty-three thousand, four hundred nine".