827861409 has 12 divisors (see below), whose sum is σ = 1201165056. Its totient is φ = 549431352.

The previous prime is 827861401. The next prime is 827861467. The reversal of 827861409 is 904168728.

827861409 is a `hidden beast` number, since 8 + 27 + 8 + 614 + 0 + 9 = 666.

It is not a de Polignac number, because 827861409 - 2³ = 827861401 is a prime.

It is a super-2 number, since 2×827861409² = 1370709025022930562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827861401) 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, 204237 + ... + 208250.

It is an arithmetic number, because the mean of its divisors is an integer number (100097088).

Almost surely, 2^827861409 is an apocalyptic number.

It is an amenable number.

827861409 is a deficient number, since it is larger than the sum of its proper divisors (373303647).

827861409 is a wasteful number, since it uses less digits than its factorization.

827861409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412716 (or 412713 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 827861409 is about 28772.5808540006. The cubic root of 827861409 is about 938.9717929514.

The spelling of 827861409 in words is "eight hundred twenty-seven million, eight hundred sixty-one thousand, four hundred nine".