132193 has 4 divisors (see below), whose sum is σ = 133168. Its totient is φ = 131220.

The previous prime is 132173. The next prime is 132199. The reversal of 132193 is 391231.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 132193 - 2¹³ = 124001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132193.

It is not an unprimeable number, because it can be changed into a prime (132199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243 + ... + 568.

It is an arithmetic number, because the mean of its divisors is an integer number (33292).

2¹³²¹⁹³ is an apocalyptic number.

It is an amenable number.

132193 is a deficient number, since it is larger than the sum of its proper divisors (975).

132193 is an equidigital number, since it uses as much as digits as its factorization.

132193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974.

The product of its digits is 162, while the sum is 19.

The square root of 132193 is about 363.5835529834. The cubic root of 132193 is about 50.9412369447.

Adding to 132193 its product of digits (162), we get a triangular number (132355 = T₅₁₄).

It can be divided in two parts, 132 and 193, that added together give a triangular number (325 = T₂₅).

The spelling of 132193 in words is "one hundred thirty-two thousand, one hundred ninety-three".