53982 has 12 divisors (see below), whose sum is σ = 117000. Its totient is φ = 17988.

The previous prime is 53959. The next prime is 53987. The reversal of 53982 is 28935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53987) by changing a digit.

53982 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 5 ways as a sum of consecutive naturals, for example, 1482 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (9750).

2⁵³⁹⁸² is an apocalyptic number.

53982 is an abundant number, since it is smaller than the sum of its proper divisors (63018).

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

53982 is a wasteful number, since it uses less digits than its factorization.

53982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3004 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 53982 is about 232.3402677110. The cubic root of 53982 is about 37.7934312933.

It can be divided in two parts, 53 and 982, that added together give a triangular number (1035 = T₄₅).

The spelling of 53982 in words is "fifty-three thousand, nine hundred eighty-two".