827903953 has 2 divisors, whose sum is σ = 827903954. Its totient is φ = 827903952.

The previous prime is 827903933. The next prime is 827903959. The reversal of 827903953 is 359309728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825240529 + 2663424 = 28727^2 + 1632^2 .

It is a cyclic number.

It is not a de Polignac number, because 827903953 - 2⁹ = 827903441 is a prime.

It is not a weakly prime, because it can be changed into another prime (827903959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413951976 + 413951977.

It is an arithmetic number, because the mean of its divisors is an integer number (413951977).

Almost surely, 2^827903953 is an apocalyptic number.

It is an amenable number.

827903953 is a deficient number, since it is larger than the sum of its proper divisors (1).

827903953 is an equidigital number, since it uses as much as digits as its factorization.

827903953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 827903953 is about 28773.3201594811. The cubic root of 827903953 is about 938.9878773391.

The spelling of 827903953 in words is "eight hundred twenty-seven million, nine hundred three thousand, nine hundred fifty-three".