10821757 has 2 divisors, whose sum is σ = 10821758. Its totient is φ = 10821756.

The previous prime is 10821719. The next prime is 10821761. The reversal of 10821757 is 75712801.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10106041 + 715716 = 3179^2 + 846^2 .

It is a cyclic number.

It is not a de Polignac number, because 10821757 - 2¹¹ = 10819709 is a prime.

It is a super-2 number, since 2×10821757² = 234220849134098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10821257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410878 + 5410879.

It is an arithmetic number, because the mean of its divisors is an integer number (5410879).

Almost surely, 2^10821757 is an apocalyptic number.

It is an amenable number.

10821757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10821757 is an equidigital number, since it uses as much as digits as its factorization.

10821757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 10821757 is about 3289.6439017012. The cubic root of 10821757 is about 221.1902227137.

The spelling of 10821757 in words is "ten million, eight hundred twenty-one thousand, seven hundred fifty-seven".