159952 has 20 divisors (see below), whose sum is σ = 334180. Its totient is φ = 73728.

The previous prime is 159937. The next prime is 159977. The reversal of 159952 is 259951.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 118336 = 204^2 + 344^2 .

It is a congruent number.

It is an unprimeable number.

159952 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 in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (16709).

2¹⁵⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

159952 is an abundant number, since it is smaller than the sum of its proper divisors (174228).

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

159952 is a wasteful number, since it uses less digits than its factorization.

159952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 4050, while the sum is 31.

The square root of 159952 is about 399.9399954993. The cubic root of 159952 is about 54.2829229537.

Subtracting 159952 from its reverse (259951), we obtain a palindrome (99999).

It can be divided in two parts, 159 and 952, that added together give a palindrome (1111).

The spelling of 159952 in words is "one hundred fifty-nine thousand, nine hundred fifty-two".