822261521 has 2 divisors, whose sum is σ = 822261522. Its totient is φ = 822261520.

The previous prime is 822261511. The next prime is 822261527. The reversal of 822261521 is 125162228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 448380625 + 373880896 = 21175^2 + 19336^2 .

It is a cyclic number.

It is not a de Polignac number, because 822261521 - 2¹⁸ = 821999377 is a prime.

It is a super-2 number, since 2×822261521² = 1352228017834466882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (822261527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411130760 + 411130761.

It is an arithmetic number, because the mean of its divisors is an integer number (411130761).

Almost surely, 2^822261521 is an apocalyptic number.

It is an amenable number.

822261521 is a deficient number, since it is larger than the sum of its proper divisors (1).

822261521 is an equidigital number, since it uses as much as digits as its factorization.

822261521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3840, while the sum is 29.

The square root of 822261521 is about 28675.1028071392. The cubic root of 822261521 is about 936.8498445939.

The spelling of 822261521 in words is "eight hundred twenty-two million, two hundred sixty-one thousand, five hundred twenty-one".