827365501 has 2 divisors, whose sum is σ = 827365502. Its totient is φ = 827365500.

The previous prime is 827365471. The next prime is 827365519. The reversal of 827365501 is 105563728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 815045401 + 12320100 = 28549^2 + 3510^2 .

It is a cyclic number.

It is not a de Polignac number, because 827365501 - 2¹⁵ = 827332733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827365531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413682750 + 413682751.

It is an arithmetic number, because the mean of its divisors is an integer number (413682751).

Almost surely, 2^827365501 is an apocalyptic number.

It is an amenable number.

827365501 is a deficient number, since it is larger than the sum of its proper divisors (1).

827365501 is an equidigital number, since it uses as much as digits as its factorization.

827365501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 827365501 is about 28763.9618446416. The cubic root of 827365501 is about 938.7842669449.

The spelling of 827365501 in words is "eight hundred twenty-seven million, three hundred sixty-five thousand, five hundred one".