32738 has 4 divisors (see below), whose sum is σ = 49110. Its totient is φ = 16368.

The previous prime is 32719. The next prime is 32749. The reversal of 32738 is 83723.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83723 = 29 ⋅2887.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 2809 = 173^2 + 53^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

32738 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, 8183 + ... + 8186.

2³²⁷³⁸ is an apocalyptic number.

32738 is a deficient number, since it is larger than the sum of its proper divisors (16372).

32738 is a wasteful number, since it uses less digits than its factorization.

32738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16371.

The product of its digits is 1008, while the sum is 23.

The square root of 32738 is about 180.9364529331. The cubic root of 32738 is about 31.9902313933.

Adding to 32738 its sum of digits (23), we get a square (32761 = 181²).

The spelling of 32738 in words is "thirty-two thousand, seven hundred thirty-eight".