827509797 has 32 divisors (see below), whose sum is σ = 1242489600. Its totient is φ = 544273344.

The previous prime is 827509789. The next prime is 827509811. The reversal of 827509797 is 797905728.

It is not a de Polignac number, because 827509797 - 2³ = 827509789 is a prime.

It is a super-4 number, since 4×827509797⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827509297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932488 + ... + 933374.

It is an arithmetic number, because the mean of its divisors is an integer number (38827800).

Almost surely, 2^827509797 is an apocalyptic number.

It is an amenable number.

827509797 is a deficient number, since it is larger than the sum of its proper divisors (414979803).

827509797 is a wasteful number, since it uses less digits than its factorization.

827509797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 827509797 is about 28766.4700128466. The cubic root of 827509797 is about 938.8388397385.

The spelling of 827509797 in words is "eight hundred twenty-seven million, five hundred nine thousand, seven hundred ninety-seven".