828008081 has 2 divisors, whose sum is σ = 828008082. Its totient is φ = 828008080.

The previous prime is 828008059. The next prime is 828008131. The reversal of 828008081 is 180800828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 711022225 + 116985856 = 26665^2 + 10816^2 .

It is a cyclic number.

It is not a de Polignac number, because 828008081 - 2¹⁰ = 828007057 is a prime.

It is a super-2 number, since 2×828008081² = 1371194764402605122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (828008281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414004040 + 414004041.

It is an arithmetic number, because the mean of its divisors is an integer number (414004041).

Almost surely, 2^828008081 is an apocalyptic number.

It is an amenable number.

828008081 is a deficient number, since it is larger than the sum of its proper divisors (1).

828008081 is an equidigital number, since it uses as much as digits as its factorization.

828008081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 828008081 is about 28775.1295566154. The cubic root of 828008081 is about 939.0272421433.

The spelling of 828008081 in words is "eight hundred twenty-eight million, eight thousand, eighty-one".