827491517 has 2 divisors, whose sum is σ = 827491518. Its totient is φ = 827491516.

The previous prime is 827491501. The next prime is 827491519. The reversal of 827491517 is 715194728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 780308356 + 47183161 = 27934^2 + 6869^2 .

It is a cyclic number.

It is not a de Polignac number, because 827491517 - 2⁴ = 827491501 is a prime.

It is a super-2 number, since 2×827491517² = 1369484421413922578, which contains 22 as substring.

Together with 827491519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827491519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413745758 + 413745759.

It is an arithmetic number, because the mean of its divisors is an integer number (413745759).

Almost surely, 2^827491517 is an apocalyptic number.

It is an amenable number.

827491517 is a deficient number, since it is larger than the sum of its proper divisors (1).

827491517 is an equidigital number, since it uses as much as digits as its factorization.

827491517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 141120, while the sum is 44.

The square root of 827491517 is about 28766.1522800669. The cubic root of 827491517 is about 938.8319265876.

The spelling of 827491517 in words is "eight hundred twenty-seven million, four hundred ninety-one thousand, five hundred seventeen".