83782 has 8 divisors (see below), whose sum is σ = 126936. Its totient is φ = 41472.

The previous prime is 83777. The next prime is 83791. The reversal of 83782 is 28738.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83782.

It is a congruent number.

It is an unprimeable number.

83782 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (15867).

2⁸³⁷⁸² is an apocalyptic number.

83782 is a deficient number, since it is larger than the sum of its proper divisors (43154).

83782 is a wasteful number, since it uses less digits than its factorization.

83782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422.

The product of its digits is 2688, while the sum is 28.

The square root of 83782 is about 289.4512048688. The cubic root of 83782 is about 43.7572722605.

It can be divided in two parts, 837 and 82, that added together give a palindrome (919).

The spelling of 83782 in words is "eighty-three thousand, seven hundred eighty-two".