55971 has 10 divisors (see below), whose sum is σ = 83732. Its totient is φ = 37260.
The previous prime is 55967. The next prime is 55987. The reversal of 55971 is 17955.
It is not a de Polignac number, because 55971 - 22 = 55967 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an Ulam number.
It is a Duffinian number.
It is a nialpdrome in base 16.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55971.
It is not an unprimeable number, because it can be changed into a prime (55901) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 265 + ... + 426.
255971 is an apocalyptic number.
55971 is a deficient number, since it is larger than the sum of its proper divisors (27761).
55971 is an equidigital number, since it uses as much as digits as its factorization.
55971 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 703 (or 694 counting only the distinct ones).
The product of its digits is 1575, while the sum is 27.
The square root of 55971 is about 236.5819097057. The cubic root of 55971 is about 38.2520183479.
It can be divided in two parts, 559 and 71, that added together give a triangular number (630 = T35).
The spelling of 55971 in words is "fifty-five thousand, nine hundred seventy-one".
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