1827974961 has 12 divisors (see below), whose sum is σ = 2659405840. Its totient is φ = 1209881880.

The previous prime is 1827974959. The next prime is 1827974977. The reversal of 1827974961 is 1694797281.

1827974961 is a `hidden beast` number, since 1 + 82 + 79 + 7 + 496 + 1 = 666.

It is not a de Polignac number, because 1827974961 - 2¹ = 1827974959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1827974898 and 1827974907.

It is not an unprimeable number, because it can be changed into a prime (1827974921) 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, 729355 + ... + 731856.

Almost surely, 2^1827974961 is an apocalyptic number.

It is an amenable number.

1827974961 is a deficient number, since it is larger than the sum of its proper divisors (831430879).

1827974961 is a wasteful number, since it uses less digits than its factorization.

1827974961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461356 (or 1461353 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 1827974961 is about 42754.8238331068. The cubic root of 1827974961 is about 1222.7098594648.

The spelling of 1827974961 in words is "one billion, eight hundred twenty-seven million, nine hundred seventy-four thousand, nine hundred sixty-one".