742516961 has 2 divisors, whose sum is σ = 742516962. Its totient is φ = 742516960.

The previous prime is 742516933. The next prime is 742516963. The reversal of 742516961 is 169615247.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 561453025 + 181063936 = 23695^2 + 13456^2 .

It is an emirp because it is prime and its reverse (169615247) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 742516961 - 2⁶ = 742516897 is a prime.

Together with 742516963, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (742516963) 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, 371258480 + 371258481.

It is an arithmetic number, because the mean of its divisors is an integer number (371258481).

Almost surely, 2^742516961 is an apocalyptic number.

It is an amenable number.

742516961 is a deficient number, since it is larger than the sum of its proper divisors (1).

742516961 is an equidigital number, since it uses as much as digits as its factorization.

742516961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 41.

The square root of 742516961 is about 27249.1644092071. The cubic root of 742516961 is about 905.5285054400.

The spelling of 742516961 in words is "seven hundred forty-two million, five hundred sixteen thousand, nine hundred sixty-one".