827342757 has 12 divisors (see below), whose sum is σ = 1265347980. Its totient is φ = 519116928.

The previous prime is 827342753. The next prime is 827342759. The reversal of 827342757 is 757243728.

827342757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 463067361 + 364275396 = 21519^2 + 19086^2 .

It is not a de Polignac number, because 827342757 - 2² = 827342753 is a prime.

It is a super-2 number, since 2×827342757² = 1368992075120722098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827342753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2703582 + ... + 2703887.

It is an arithmetic number, because the mean of its divisors is an integer number (105445665).

Almost surely, 2^827342757 is an apocalyptic number.

It is an amenable number.

827342757 is a deficient number, since it is larger than the sum of its proper divisors (438005223).

827342757 is a wasteful number, since it uses less digits than its factorization.

827342757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407492 (or 5407489 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 827342757 is about 28763.5664860949. The cubic root of 827342757 is about 938.7756645779.

It can be divided in two parts, 82734 and 2757, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 827342757 in words is "eight hundred twenty-seven million, three hundred forty-two thousand, seven hundred fifty-seven".