1072565821 has 2 divisors, whose sum is σ = 1072565822. Its totient is φ = 1072565820.

The previous prime is 1072565761. The next prime is 1072565843. The reversal of 1072565821 is 1285652701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1057160196 + 15405625 = 32514^2 + 3925^2 .

It is an emirp because it is prime and its reverse (1285652701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1072565821 - 2¹⁹ = 1072041533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1072565861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536282910 + 536282911.

It is an arithmetic number, because the mean of its divisors is an integer number (536282911).

Almost surely, 2^1072565821 is an apocalyptic number.

It is an amenable number.

1072565821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072565821 is an equidigital number, since it uses as much as digits as its factorization.

1072565821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 1072565821 is about 32750.0507022508. The cubic root of 1072565821 is about 1023.6260221494.

The spelling of 1072565821 in words is "one billion, seventy-two million, five hundred sixty-five thousand, eight hundred twenty-one".