828242001 has 12 divisors (see below), whose sum is σ = 1237603380. Its totient is φ = 533121120.

The previous prime is 828241991. The next prime is 828242017. The reversal of 828242001 is 100242828.

It can be written as a sum of positive squares in 2 ways, for example, as 319694400 + 508547601 = 17880^2 + 22551^2 .

It is not a de Polignac number, because 828242001 - 2²⁹ = 291371089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828242021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1586410 + ... + 1586931.

It is an arithmetic number, because the mean of its divisors is an integer number (103133615).

Almost surely, 2^828242001 is an apocalyptic number.

It is an amenable number.

828242001 is a deficient number, since it is larger than the sum of its proper divisors (409361379).

828242001 is a wasteful number, since it uses less digits than its factorization.

828242001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173376 (or 3173373 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 828242001 is about 28779.1938907260. The cubic root of 828242001 is about 939.1156617999.

Adding to 828242001 its reverse (100242828), we get a palindrome (928484829).

The spelling of 828242001 in words is "eight hundred twenty-eight million, two hundred forty-two thousand, one".