742705993 has 2 divisors, whose sum is σ = 742705994. Its totient is φ = 742705992.

The previous prime is 742705913. The next prime is 742706039. The reversal of 742705993 is 399507247.

It is an a-pointer prime, because the next prime (742706039) can be obtained adding 742705993 to its sum of digits (46).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 689167504 + 53538489 = 26252^2 + 7317^2 .

It is a cyclic number.

It is not a de Polignac number, because 742705993 - 2²⁵ = 709151561 is a prime.

It is a super-2 number, since 2×742705993² = 1103224384076232098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (742705913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371352996 + 371352997.

It is an arithmetic number, because the mean of its divisors is an integer number (371352997).

Almost surely, 2^742705993 is an apocalyptic number.

It is an amenable number.

742705993 is a deficient number, since it is larger than the sum of its proper divisors (1).

742705993 is an equidigital number, since it uses as much as digits as its factorization.

742705993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 46.

The square root of 742705993 is about 27252.6327718993. The cubic root of 742705993 is about 905.6053428949.

The spelling of 742705993 in words is "seven hundred forty-two million, seven hundred five thousand, nine hundred ninety-three".