1789562961 has 12 divisors (see below), whose sum is σ = 2613969540. Its totient is φ = 1179636480.

The previous prime is 1789562933. The next prime is 1789562989. The reversal of 1789562961 is 1692659871.

1789562961 is a `hidden beast` number, since 1 + 7 + 8 + 9 + 5 + 629 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1789562933) and next prime (1789562989).

It can be written as a sum of positive squares in 2 ways, for example, as 569108736 + 1220454225 = 23856^2 + 34935^2 .

It is not a de Polignac number, because 1789562961 - 2¹⁸ = 1789300817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1789562898 and 1789562907.

It is not an unprimeable number, because it can be changed into a prime (1789564961) 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 11 ways as a sum of consecutive naturals, for example, 1116280 + ... + 1117881.

It is an arithmetic number, because the mean of its divisors is an integer number (217830795).

Almost surely, 2^1789562961 is an apocalyptic number.

It is an amenable number.

1789562961 is a deficient number, since it is larger than the sum of its proper divisors (824406579).

1789562961 is a wasteful number, since it uses less digits than its factorization.

1789562961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234256 (or 2234253 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1789562961 is about 42303.2263663187. The cubic root of 1789562961 is about 1214.0847224576.

The spelling of 1789562961 in words is "one billion, seven hundred eighty-nine million, five hundred sixty-two thousand, nine hundred sixty-one".