828271601 has 2 divisors, whose sum is σ = 828271602. Its totient is φ = 828271600.

The previous prime is 828271589. The next prime is 828271649. The reversal of 828271601 is 106172828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 480486400 + 347785201 = 21920^2 + 18649^2 .

It is a cyclic number.

It is not a de Polignac number, because 828271601 - 2⁶ = 828271537 is a prime.

It is not a weakly prime, because it can be changed into another prime (828271681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414135800 + 414135801.

It is an arithmetic number, because the mean of its divisors is an integer number (414135801).

Almost surely, 2^828271601 is an apocalyptic number.

It is an amenable number.

828271601 is a deficient number, since it is larger than the sum of its proper divisors (1).

828271601 is an equidigital number, since it uses as much as digits as its factorization.

828271601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 828271601 is about 28779.7081465396. The cubic root of 828271601 is about 939.1268491471.

The spelling of 828271601 in words is "eight hundred twenty-eight million, two hundred seventy-one thousand, six hundred one".