32763 has 8 divisors (see below), whose sum is σ = 44608. Its totient is φ = 21384.

The previous prime is 32749. The next prime is 32771. The reversal of 32763 is 36723.

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

It is not a de Polignac number, because 32763 - 2⁸ = 32507 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (32713) 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, 120 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (5576).

2³²⁷⁶³ is an apocalyptic number.

32763 is a deficient number, since it is larger than the sum of its proper divisors (11845).

32763 is a wasteful number, since it uses less digits than its factorization.

32763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its digits is 756, while the sum is 21.

The square root of 32763 is about 181.0055247776. The cubic root of 32763 is about 31.9983723130.

The spelling of 32763 in words is "thirty-two thousand, seven hundred sixty-three".