32782 has 8 divisors (see below), whose sum is σ = 50616. Its totient is φ = 15912.

The previous prime is 32779. The next prime is 32783. The reversal of 32782 is 28723.

It is a happy number.

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

It is a d-powerful number, because it can be written as 3 + 2 + 7 + 8⁵ + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32783) 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, 148 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (6327).

32782 is a Friedman number, since it can be written as 8^(3+2)+7*2, using all its digits and the basic arithmetic operations.

2³²⁷⁸² is an apocalyptic number.

32782 is the 148-th pentagonal number.

32782 is a deficient number, since it is larger than the sum of its proper divisors (17834).

32782 is a wasteful number, since it uses less digits than its factorization.

32782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482.

The product of its digits is 672, while the sum is 22.

The square root of 32782 is about 181.0580017563. The cubic root of 32782 is about 32.0045566428.

It can be divided in two parts, 3278 and 2, that multiplied together give a palindrome (6556).

The spelling of 32782 in words is "thirty-two thousand, seven hundred eighty-two".