23782 has 16 divisors (see below), whose sum is σ = 41472. Its totient is φ = 10120.

The previous prime is 23773. The next prime is 23789. The reversal of 23782 is 28732.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23789) by changing a digit.

23782 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 7 ways as a sum of consecutive naturals, for example, 483 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2²³⁷⁸² is an apocalyptic number.

23782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

23782 is a deficient number, since it is larger than the sum of its proper divisors (17690).

23782 is a wasteful number, since it uses less digits than its factorization.

23782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

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

The square root of 23782 is about 154.2141368358. The cubic root of 23782 is about 28.7573894049.

23782 divided by its sum of digits (22) gives a triangular number (1081 = T₄₆).

Subtracting 23782 from its reverse (28732), we obtain a triangular number (4950 = T₉₉).

The spelling of 23782 in words is "twenty-three thousand, seven hundred eighty-two".