189585361 has 15 divisors (see below), whose sum is σ = 221959643. Its totient is φ = 161923440.

The previous prime is 189585359. The next prime is 189585371. The reversal of 189585361 is 163585981.

The square root of 189585361 is 13769.

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., 128119761 + 61465600 = 11319^2 + 7840^2 .

It is not a de Polignac number, because 189585361 - 2¹ = 189585359 is a prime.

It is a Duffinian number.

Its product of digits (259200) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (189585371) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 674541 + ... + 674821.

Almost surely, 2^189585361 is an apocalyptic number.

189585361 is the 13769-th square number.

189585361 is the 6885-th centered octagonal number.

It is an amenable number.

189585361 is a deficient number, since it is larger than the sum of its proper divisors (32374282).

189585361 is an frugal number, since it uses more digits than its factorization.

189585361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 288 counting only the distinct ones).

The product of its digits is 259200, while the sum is 46.

The cubic root of 189585361 is about 574.4712073603.

The spelling of 189585361 in words is "one hundred eighty-nine million, five hundred eighty-five thousand, three hundred sixty-one".