828133 has 2 divisors, whose sum is σ = 828134. Its totient is φ = 828132.

The previous prime is 828131. The next prime is 828169. The reversal of 828133 is 331828.

828133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 459684 + 368449 = 678^2 + 607^2 .

It is a cyclic number.

It is not a de Polignac number, because 828133 - 2¹ = 828131 is a prime.

Together with 828131, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 828098 and 828107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414066 + 414067.

It is an arithmetic number, because the mean of its divisors is an integer number (414067).

2⁸²⁸¹³³ is an apocalyptic number.

It is an amenable number.

828133 is a deficient number, since it is larger than the sum of its proper divisors (1).

828133 is an equidigital number, since it uses as much as digits as its factorization.

828133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 25.

The square root of 828133 is about 910.0181316875. The cubic root of 828133 is about 93.9074462474.

It can be divided in two parts, 828 and 133, that added together give a square (961 = 31²).

The spelling of 828133 in words is "eight hundred twenty-eight thousand, one hundred thirty-three".