123333349 has 2 divisors, whose sum is σ = 123333350. Its totient is φ = 123333348.

The previous prime is 123333347. The next prime is 123333377. The reversal of 123333349 is 943333321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102921025 + 20412324 = 10145^2 + 4518^2 .

It is a cyclic number.

It is not a de Polignac number, because 123333349 - 2¹ = 123333347 is a prime.

It is a super-2 number, since 2×123333349² = 30422229951111602, which contains 22 as substring.

Together with 123333347, it forms a pair of twin primes.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 123333349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123333347) 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, 61666674 + 61666675.

It is an arithmetic number, because the mean of its divisors is an integer number (61666675).

Almost surely, 2^123333349 is an apocalyptic number.

It is an amenable number.

123333349 is a deficient number, since it is larger than the sum of its proper divisors (1).

123333349 is an equidigital number, since it uses as much as digits as its factorization.

123333349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 31.

The square root of 123333349 is about 11105.5548713245. The cubic root of 123333349 is about 497.7678484949.

The spelling of 123333349 in words is "one hundred twenty-three million, three hundred thirty-three thousand, three hundred forty-nine".