823980133 has 2 divisors, whose sum is σ = 823980134. Its totient is φ = 823980132.

The previous prime is 823980097. The next prime is 823980149. The reversal of 823980133 is 331089328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413593569 + 410386564 = 20337^2 + 20258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823980133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 823980092 and 823980101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823980433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411990066 + 411990067.

It is an arithmetic number, because the mean of its divisors is an integer number (411990067).

Almost surely, 2^823980133 is an apocalyptic number.

It is an amenable number.

823980133 is a deficient number, since it is larger than the sum of its proper divisors (1).

823980133 is an equidigital number, since it uses as much as digits as its factorization.

823980133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 823980133 is about 28705.0541368589. The cubic root of 823980133 is about 937.5020948812.

The spelling of 823980133 in words is "eight hundred twenty-three million, nine hundred eighty thousand, one hundred thirty-three".