189306 has 24 divisors (see below), whose sum is σ = 442260. Its totient is φ = 58176.

The previous prime is 189271. The next prime is 189307. The reversal of 189306 is 603981.

189306 = T₅₈ + T₅₉ + ... + T₁₀₉.

It can be written as a sum of positive squares in 2 ways, for example, as 189225 + 81 = 435^2 + 9^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 189306.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 189306.

It is not an unprimeable number, because it can be changed into a prime (189307) by changing a digit.

189306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 638.

2¹⁸⁹³⁰⁶ is an apocalyptic number.

189306 is an abundant number, since it is smaller than the sum of its proper divisors (252954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189306 is a wasteful number, since it uses less digits than its factorization.

189306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 189306 is about 435.0930934869. The cubic root of 189306 is about 57.4188900503.

The spelling of 189306 in words is "one hundred eighty-nine thousand, three hundred six".