189640441 has 9 divisors (see below), whose sum is σ = 194424751. Its totient is φ = 184972072.

The previous prime is 189640421. The next prime is 189640453. The reversal of 189640441 is 144046981.

The square root of 189640441 is 13771.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179426025 + 10214416 = 13395^2 + 3196^2 .

It is not a de Polignac number, because 189640441 - 2¹⁵ = 189607673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 189640441.

It is not an unprimeable number, because it can be changed into a prime (189640421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 647091 + ... + 647383.

Almost surely, 2^189640441 is an apocalyptic number.

189640441 is the 13771-st square number.

189640441 is the 6886-th centered octagonal number.

It is an amenable number.

189640441 is a deficient number, since it is larger than the sum of its proper divisors (4784310).

189640441 is an frugal number, since it uses more digits than its factorization.

189640441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 189640441 is about 574.5268354428.

The spelling of 189640441 in words is "one hundred eighty-nine million, six hundred forty thousand, four hundred forty-one".