189585981 has 32 divisors (see below), whose sum is σ = 304926720. Its totient is φ = 115722432.

The previous prime is 189585959. The next prime is 189585997.

189585981 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 189585981 - 2⁹ = 189585469 is a prime.

It is a super-2 number, since 2×189585981² = 71885688383464722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189585281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42451 + ... + 46703.

It is an arithmetic number, because the mean of its divisors is an integer number (9528960).

Almost surely, 2^189585981 is an apocalyptic number.

It is an amenable number.

189585981 is a deficient number, since it is larger than the sum of its proper divisors (115340739).

189585981 is a wasteful number, since it uses less digits than its factorization.

189585981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4396 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 54.

The square root of 189585981 is about 13769.0225143254. The cubic root of 189585981 is about 574.4718335897.

The spelling of 189585981 in words is "one hundred eighty-nine million, five hundred eighty-five thousand, nine hundred eighty-one".