742580821 has 2 divisors, whose sum is σ = 742580822. Its totient is φ = 742580820.

The previous prime is 742580759. The next prime is 742580849. The reversal of 742580821 is 128085247.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 537776100 + 204804721 = 23190^2 + 14311^2 .

It is an emirp because it is prime and its reverse (128085247) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 742580821 - 2²³ = 734192213 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (742580521) 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, 371290410 + 371290411.

It is an arithmetic number, because the mean of its divisors is an integer number (371290411).

Almost surely, 2^742580821 is an apocalyptic number.

It is an amenable number.

742580821 is a deficient number, since it is larger than the sum of its proper divisors (1).

742580821 is an equidigital number, since it uses as much as digits as its factorization.

742580821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 742580821 is about 27250.3361630641. The cubic root of 742580821 is about 905.5544646192.

The spelling of 742580821 in words is "seven hundred forty-two million, five hundred eighty thousand, eight hundred twenty-one".