827836945 has 32 divisors (see below), whose sum is σ = 1116781344. Its totient is φ = 585062400.

The previous prime is 827836909. The next prime is 827836957. The reversal of 827836945 is 549638728.

It can be written as a sum of positive squares in 16 ways, for example, as 467900161 + 359936784 = 21631^2 + 18972^2 .

It is not a de Polignac number, because 827836945 - 2²⁵ = 794282513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827836892 and 827836901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138315 + ... + 144175.

It is an arithmetic number, because the mean of its divisors is an integer number (34899417).

Almost surely, 2^827836945 is an apocalyptic number.

It is an amenable number.

827836945 is a deficient number, since it is larger than the sum of its proper divisors (288944399).

827836945 is a wasteful number, since it uses less digits than its factorization.

827836945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973.

The product of its digits is 2903040, while the sum is 52.

The square root of 827836945 is about 28772.1557238939. The cubic root of 827836945 is about 938.9625437252.

The spelling of 827836945 in words is "eight hundred twenty-seven million, eight hundred thirty-six thousand, nine hundred forty-five".