55919 has 4 divisors (see below), whose sum is σ = 56400. Its totient is φ = 55440.

The previous prime is 55903. The next prime is 55921. The reversal of 55919 is 91955.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 55919 - 2⁴ = 55903 is a prime.

It is a super-2 number, since 2×55919² = 6253869122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55891 and 55900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (14100).

2⁵⁵⁹¹⁹ is an apocalyptic number.

55919 is a deficient number, since it is larger than the sum of its proper divisors (481).

55919 is a wasteful number, since it uses less digits than its factorization.

55919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its digits is 2025, while the sum is 29.

The square root of 55919 is about 236.4719856558. The cubic root of 55919 is about 38.2401686325.

The spelling of 55919 in words is "fifty-five thousand, nine hundred nineteen".