32744 has 8 divisors (see below), whose sum is σ = 61410. Its totient is φ = 16368.

The previous prime is 32719. The next prime is 32749. The reversal of 32744 is 44723.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 3844 = 170^2 + 62^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 11.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (32749) by changing a digit.

32744 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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2039 + ... + 2054.

32744 is a Friedman number, since it can be written as (4^7-4*3)*2, using all its digits and the basic arithmetic operations.

2³²⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

32744 is a deficient number, since it is larger than the sum of its proper divisors (28666).

32744 is a wasteful number, since it uses less digits than its factorization.

32744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4095 counting only the distinct ones).

The product of its digits is 672, while the sum is 20.

The square root of 32744 is about 180.9530325803. The cubic root of 32744 is about 31.9921855919.

The spelling of 32744 in words is "thirty-two thousand, seven hundred forty-four".