828712561 has 2 divisors, whose sum is σ = 828712562. Its totient is φ = 828712560.

The previous prime is 828712543. The next prime is 828712597. The reversal of 828712561 is 165217828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418407025 + 410305536 = 20455^2 + 20256^2 .

It is a cyclic number.

It is not a de Polignac number, because 828712561 - 2⁵ = 828712529 is a prime.

It is not a weakly prime, because it can be changed into another prime (828772561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414356280 + 414356281.

It is an arithmetic number, because the mean of its divisors is an integer number (414356281).

Almost surely, 2^828712561 is an apocalyptic number.

It is an amenable number.

828712561 is a deficient number, since it is larger than the sum of its proper divisors (1).

828712561 is an equidigital number, since it uses as much as digits as its factorization.

828712561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 53760, while the sum is 40.

The square root of 828712561 is about 28787.3680804620. The cubic root of 828712561 is about 939.2934788317.

The spelling of 828712561 in words is "eight hundred twenty-eight million, seven hundred twelve thousand, five hundred sixty-one".