32661 has 12 divisors (see below), whose sum is σ = 49920. Its totient is φ = 20520.

The previous prime is 32653. The next prime is 32687. The reversal of 32661 is 16623.

Added to its reverse (16623) it gives a square (49284 = 222²).

It is a happy number.

32661 is a `hidden beast` number, since 3 + 2 + 661 = 666.

It is not a de Polignac number, because 32661 - 2³ = 32653 is a prime.

Its product of digits (216) is a multiple of the sum of its prime factors (216).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32611) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (4160).

2³²⁶⁶¹ is an apocalyptic number.

It is an amenable number.

32661 is a deficient number, since it is larger than the sum of its proper divisors (17259).

32661 is a wasteful number, since it uses less digits than its factorization.

32661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 32661 is about 180.7235457819. The cubic root of 32661 is about 31.9651312900.

Adding to 32661 its reverse (16623), we get a square (49284 = 222²).

The spelling of 32661 in words is "thirty-two thousand, six hundred sixty-one".