827903933 has 2 divisors, whose sum is σ = 827903934. Its totient is φ = 827903932.

The previous prime is 827903863. The next prime is 827903953. The reversal of 827903933 is 339309728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 746218489 + 81685444 = 27317^2 + 9038^2 .

It is a cyclic number.

It is not a de Polignac number, because 827903933 - 2¹⁶ = 827838397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827903953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413951966 + 413951967.

It is an arithmetic number, because the mean of its divisors is an integer number (413951967).

Almost surely, 2^827903933 is an apocalyptic number.

It is an amenable number.

827903933 is a deficient number, since it is larger than the sum of its proper divisors (1).

827903933 is an equidigital number, since it uses as much as digits as its factorization.

827903933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 827903933 is about 28773.3198119369. The cubic root of 827903933 is about 938.9878697780.

The spelling of 827903933 in words is "eight hundred twenty-seven million, nine hundred three thousand, nine hundred thirty-three".