191552 has 28 divisors (see below), whose sum is σ = 394716. Its totient is φ = 92160.

The previous prime is 191551. The next prime is 191561. The reversal of 191552 is 255191.

191552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 141376 = 224^2 + 376^2 .

It is not an unprimeable number, because it can be changed into a prime (191551) 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 3 ways as a sum of consecutive naturals, for example, 2588 + ... + 2660.

It is an arithmetic number, because the mean of its divisors is an integer number (14097).

2¹⁹¹⁵⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197358).

191552 is an abundant number, since it is smaller than the sum of its proper divisors (203164).

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

191552 is an equidigital number, since it uses as much as digits as its factorization.

191552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 450, while the sum is 23.

The square root of 191552 is about 437.6665397309. Note that the first 3 decimals coincide. The cubic root of 191552 is about 57.6450778815.

The spelling of 191552 in words is "one hundred ninety-one thousand, five hundred fifty-two".