32961 has 4 divisors (see below), whose sum is σ = 43952. Its totient is φ = 21972.

The previous prime is 32957. The next prime is 32969. The reversal of 32961 is 16923.

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 an emirpimes, since its reverse is a distinct semiprime: 16923 = 3 ⋅5641.

It is not a de Polignac number, because 32961 - 2² = 32957 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

32961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (32969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5491 + ... + 5496.

It is an arithmetic number, because the mean of its divisors is an integer number (10988).

2³²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

32961 is a deficient number, since it is larger than the sum of its proper divisors (10991).

32961 is a wasteful number, since it uses less digits than its factorization.

32961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990.

The product of its digits is 324, while the sum is 21.

The square root of 32961 is about 181.5516455447. The cubic root of 32961 is about 32.0627025777.

The spelling of 32961 in words is "thirty-two thousand, nine hundred sixty-one".