55983582 has 64 divisors (see below), whose sum is σ = 131051520. Its totient is φ = 17690400.

The previous prime is 55983569. The next prime is 55983611. The reversal of 55983582 is 28538955.

55983582 is a `hidden beast` number, since 5 + 598 + 3 + 58 + 2 = 666.

It is a super-2 number, since 2×55983582² = 6268322907101448, which contains 22 as substring.

Its product of digits (432000) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88407 + ... + 89037.

It is an arithmetic number, because the mean of its divisors is an integer number (2047680).

Almost surely, 2^55983582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55983582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65525760).

55983582 is an abundant number, since it is smaller than the sum of its proper divisors (75067938).

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

55983582 is a wasteful number, since it uses less digits than its factorization.

55983582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 55983582 is about 7482.2177193664. The cubic root of 55983582 is about 382.5488442046.

It can be divided in two parts, 55983 and 582, that added together give a palindrome (56565).

The spelling of 55983582 in words is "fifty-five million, nine hundred eighty-three thousand, five hundred eighty-two".