828308233 has 8 divisors (see below), whose sum is σ = 851545800. Its totient is φ = 805115520.

The previous prime is 828308227. The next prime is 828308267. The reversal of 828308233 is 332803828.

It can be written as a sum of positive squares in 4 ways, for example, as 728568064 + 99740169 = 26992^2 + 9987^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-828308233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828308192 and 828308201.

It is not an unprimeable number, because it can be changed into a prime (828308333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28143 + ... + 49483.

It is an arithmetic number, because the mean of its divisors is an integer number (106443225).

Almost surely, 2^828308233 is an apocalyptic number.

It is an amenable number.

828308233 is a deficient number, since it is larger than the sum of its proper divisors (23237567).

828308233 is a wasteful number, since it uses less digits than its factorization.

828308233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22427.

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 828308233 is about 28780.3445601334. The cubic root of 828308233 is about 939.1406938761.

The spelling of 828308233 in words is "eight hundred twenty-eight million, three hundred eight thousand, two hundred thirty-three".