123332305 has 16 divisors (see below), whose sum is σ = 152219088. Its totient is φ = 95872000.

The previous prime is 123332281. The next prime is 123332309. The reversal of 123332305 is 503233321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 55696 + 123276609 = 236^2 + 11103^2 .

It is not a de Polignac number, because 123332305 - 2¹⁷ = 123201233 is a prime.

It is a super-3 number, since 3×123332305³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123332309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56535 + ... + 58675.

It is an arithmetic number, because the mean of its divisors is an integer number (9513693).

Almost surely, 2^123332305 is an apocalyptic number.

It is an amenable number.

123332305 is a deficient number, since it is larger than the sum of its proper divisors (28886783).

123332305 is a wasteful number, since it uses less digits than its factorization.

123332305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468.

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 123332305 is about 11105.5078677204. The cubic root of 123332305 is about 497.7664439786.

Adding to 123332305 its reverse (503233321), we get a palindrome (626565626).

The spelling of 123332305 in words is "one hundred twenty-three million, three hundred thirty-two thousand, three hundred five".