32963 has 8 divisors (see below), whose sum is σ = 40032. Its totient is φ = 26496.

The previous prime is 32957. The next prime is 32969. The reversal of 32963 is 36923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32957) and next prime (32969).

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 32963 - 2⁸ = 32707 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3³ + 2¹⁵ + 9² + 6 + 3⁴ .

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

It is a Duffinian number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (5004).

2³²⁹⁶³ is an apocalyptic number.

32963 is a deficient number, since it is larger than the sum of its proper divisors (7069).

32963 is a wasteful number, since it uses less digits than its factorization.

32963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its digits is 972, while the sum is 23.

The square root of 32963 is about 181.5571535357. The cubic root of 32963 is about 32.0633510623.

The spelling of 32963 in words is "thirty-two thousand, nine hundred sixty-three".