55000 has 40 divisors (see below), whose sum is σ = 140580. Its totient is φ = 20000.
The previous prime is 54983. The next prime is 55001. The reversal of 55000 is 55.
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a plaindrome in base 15.
It is a nialpdrome in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55001) by changing a digit.
55000 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 9 ways as a sum of consecutive naturals, for example, 4995 + ... + 5005.
255000 is an apocalyptic number.
55000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 55000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70290).
55000 is an abundant number, since it is smaller than the sum of its proper divisors (85580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55000 is a wasteful number, since it uses less digits than its factorization.
55000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 25, while the sum is 10.
The square root of 55000 is about 234.5207879912. The cubic root of 55000 is about 38.0295246076.
Adding to 55000 its reverse (55), we get a palindrome (55055).
Subtracting from 55000 its reverse (55), we obtain a palindrome (54945).
55000 divided by its reverse (55) gives a cube (1000 = 103).
It can be divided in two parts, 5 and 5000, that added together give a palindrome (5005).
The spelling of 55000 in words is "fifty-five thousand".
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