827503005 has 32 divisors (see below), whose sum is σ = 1515571200. Its totient is φ = 377681472.

The previous prime is 827502989. The next prime is 827503007. The reversal of 827503005 is 500305728.

It is a happy number.

827503005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827503005 - 2⁴ = 827502989 is a prime.

It is a super-2 number, since 2×827503005² = 1369522446568060050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827503007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63216 + ... + 75174.

It is an arithmetic number, because the mean of its divisors is an integer number (47361600).

Almost surely, 2^827503005 is an apocalyptic number.

It is an amenable number.

827503005 is a deficient number, since it is larger than the sum of its proper divisors (688068195).

827503005 is a wasteful number, since it uses less digits than its factorization.

827503005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12633.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 827503005 is about 28766.3519584948. The cubic root of 827503005 is about 938.8362711442.

The spelling of 827503005 in words is "eight hundred twenty-seven million, five hundred three thousand, five".