827088001 has 2 divisors, whose sum is σ = 827088002. Its totient is φ = 827088000.

The previous prime is 827087939. The next prime is 827088013. The reversal of 827088001 is 100880728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825987600 + 1100401 = 28740^2 + 1049^2 .

It is a cyclic number.

It is not a de Polignac number, because 827088001 - 2⁹ = 827087489 is a prime.

It is a super-2 number, since 2×827088001² = 1368149122796352002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (827028001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413544000 + 413544001.

It is an arithmetic number, because the mean of its divisors is an integer number (413544001).

Almost surely, 2^827088001 is an apocalyptic number.

It is an amenable number.

827088001 is a deficient number, since it is larger than the sum of its proper divisors (1).

827088001 is an equidigital number, since it uses as much as digits as its factorization.

827088001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 827088001 is about 28759.1376956960. The cubic root of 827088001 is about 938.6792985181.

It can be divided in two parts, 82708 and 8001, that added together give a palindrome (90709).

The spelling of 827088001 in words is "eight hundred twenty-seven million, eighty-eight thousand, one".