189248 has 14 divisors (see below), whose sum is σ = 375666. Its totient is φ = 94592.

The previous prime is 189239. The next prime is 189251. The reversal of 189248 is 842981.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 53824 = 368^2 + 232^2 .

It is a super-3 number, since 3×189248³ = 20333640936062976, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

189248 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1415 + ... + 1542.

2¹⁸⁹²⁴⁸ is an apocalyptic number.

It is an amenable number.

189248 is a deficient number, since it is larger than the sum of its proper divisors (186418).

189248 is an equidigital number, since it uses as much as digits as its factorization.

189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2959 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 189248 is about 435.0264359783. The cubic root of 189248 is about 57.4130254082.

It can be divided in two parts, 18 and 9248, that multiplied together give a square (166464 = 408²).

The spelling of 189248 in words is "one hundred eighty-nine thousand, two hundred forty-eight".