828101 has 2 divisors, whose sum is σ = 828102. Its totient is φ = 828100.

The previous prime is 828071. The next prime is 828109. The reversal of 828101 is 101828.

It is a Cunningham number, because it is equal to 910²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 828100 + 1 = 910^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-828101 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414050 + 414051.

It is an arithmetic number, because the mean of its divisors is an integer number (414051).

2⁸²⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

828101 is a deficient number, since it is larger than the sum of its proper divisors (1).

828101 is an equidigital number, since it uses as much as digits as its factorization.

828101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 828101 is about 910.0005494504. Note that the first 3 decimals coincide. The cubic root of 828101 is about 93.9062366683.

Adding to 828101 its reverse (101828), we get a palindrome (929929).

It can be divided in two parts, 828 and 101, that added together give a palindrome (929).

The spelling of 828101 in words is "eight hundred twenty-eight thousand, one hundred one".