219141 has 12 divisors (see below), whose sum is σ = 341068. Its totient is φ = 134784.

The previous prime is 219133. The next prime is 219143. The reversal of 219141 is 141912.

219141 = 79² + 80² + ... + 104².

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 202500 = 129^2 + 450^2 .

It is not a de Polignac number, because 219141 - 2³ = 219133 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 219141.

It is not an unprimeable number, because it can be changed into a prime (219143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820 + ... + 1053.

2²¹⁹¹⁴¹ is an apocalyptic number.

It is an amenable number.

219141 is a deficient number, since it is larger than the sum of its proper divisors (121927).

219141 is a wasteful number, since it uses less digits than its factorization.

219141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1889 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 219141 is about 468.1249833111. The cubic root of 219141 is about 60.2894348791.

The spelling of 219141 in words is "two hundred nineteen thousand, one hundred forty-one".