55782 has 16 divisors (see below), whose sum is σ = 124080. Its totient is φ = 18576.

The previous prime is 55763. The next prime is 55787. The reversal of 55782 is 28755.

It is a happy number.

It is a super-2 number, since 2×55782² = 6223263048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55787) by changing a digit.

55782 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, 463 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (7755).

2⁵⁵⁷⁸² is an apocalyptic number.

55782 is an abundant number, since it is smaller than the sum of its proper divisors (68298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62040).

55782 is a wasteful number, since it uses less digits than its factorization.

55782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 55782 is about 236.1821331092. The cubic root of 55782 is about 38.2089139765.

Subtracting from 55782 its sum of digits (27), we obtain a palindrome (55755).

The spelling of 55782 in words is "fifty-five thousand, seven hundred eighty-two".