189953 has 6 divisors (see below), whose sum is σ = 196422. Its totient is φ = 183680.

The previous prime is 189949. The next prime is 189961. The reversal of 189953 is 359981.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 146689 = 208^2 + 383^2 .

It is not a de Polignac number, because 189953 - 2² = 189949 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189913) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 1625 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (32737).

It is a Proth number, since it is equal to 371 ⋅ 2⁹ + 1 and 371 < 2⁹.

2¹⁸⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

189953 is a deficient number, since it is larger than the sum of its proper divisors (6469).

189953 is an equidigital number, since it uses as much as digits as its factorization.

189953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its digits is 9720, while the sum is 35.

The square root of 189953 is about 435.8359783221. The cubic root of 189953 is about 57.4842300799.

The spelling of 189953 in words is "one hundred eighty-nine thousand, nine hundred fifty-three".