16589961 has 16 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 11000304.

The previous prime is 16589933. The next prime is 16589981. The reversal of 16589961 is 16998561.

16589961 is a `hidden beast` number, since 1 + 6 + 589 + 9 + 61 = 666.

16589961 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16589961 - 2⁶ = 16589897 is a prime.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16589981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3760 + ... + 6878.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^16589961 is an apocalyptic number.

It is an amenable number.

16589961 is a deficient number, since it is larger than the sum of its proper divisors (8120439).

16589961 is a wasteful number, since it uses less digits than its factorization.

16589961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3319 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 16589961 is about 4073.0775833514. The cubic root of 16589961 is about 255.0440062461.

The spelling of 16589961 in words is "sixteen million, five hundred eighty-nine thousand, nine hundred sixty-one".