123728047 has 2 divisors, whose sum is σ = 123728048. Its totient is φ = 123728046.

The previous prime is 123728021. The next prime is 123728053. The reversal of 123728047 is 740827321.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123728047 is a prime.

It is a super-3 number, since 3×123728047³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123728147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61864023 + 61864024.

It is an arithmetic number, because the mean of its divisors is an integer number (61864024).

Almost surely, 2^123728047 is an apocalyptic number.

123728047 is a deficient number, since it is larger than the sum of its proper divisors (1).

123728047 is an equidigital number, since it uses as much as digits as its factorization.

123728047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 123728047 is about 11123.3109729073. The cubic root of 123728047 is about 498.2982775185.

The spelling of 123728047 in words is "one hundred twenty-three million, seven hundred twenty-eight thousand, forty-seven".