32981 has 8 divisors (see below), whose sum is σ = 36960. Its totient is φ = 29232.

The previous prime is 32971. The next prime is 32983. The reversal of 32981 is 18923.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32981 - 2⁶ = 32917 is a prime.

It is a super-2 number, since 2×32981² = 2175492722, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 2⁷ + 9² + 8⁵ + 1 .

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32981.

It is not an unprimeable number, because it can be changed into a prime (32983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2³²⁹⁸¹ is an apocalyptic number.

It is an amenable number.

32981 is a deficient number, since it is larger than the sum of its proper divisors (3979).

32981 is a wasteful number, since it uses less digits than its factorization.

32981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its digits is 432, while the sum is 23.

The square root of 32981 is about 181.6067179374. The cubic root of 32981 is about 32.0691862442.

The spelling of 32981 in words is "thirty-two thousand, nine hundred eighty-one".