55195 has 16 divisors (see below), whose sum is σ = 80640. Its totient is φ = 35424.

The previous prime is 55171. The next prime is 55201. The reversal of 55195 is 59155.

55195 = 18² + 19² + ... + 55².

It is a cyclic number.

It is not a de Polignac number, because 55195 - 2⁵ = 55163 is a prime.

55195 is a lucky number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 624 + ... + 706.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵⁵¹⁹⁵ is an apocalyptic number.

55195 is a deficient number, since it is larger than the sum of its proper divisors (25445).

55195 is a wasteful number, since it uses less digits than its factorization.

55195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its digits is 1125, while the sum is 25.

The square root of 55195 is about 234.9361615418. The cubic root of 55195 is about 38.0744155800.

It can be divided in two parts, 551 and 95, that added together give a palindrome (646).

The spelling of 55195 in words is "fifty-five thousand, one hundred ninety-five".