208144 has 10 divisors (see below), whose sum is σ = 403310. Its totient is φ = 104064.

The previous prime is 208141. The next prime is 208147. The reversal of 208144 is 441802.

208144 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (208141) and next prime (208147).

It can be written as a sum of positive squares in only one way, i.e., 150544 + 57600 = 388^2 + 240^2 .

It is not an unprimeable number, because it can be changed into a prime (208141) 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 as a sum of consecutive naturals, namely, 6489 + ... + 6520.

It is an arithmetic number, because the mean of its divisors is an integer number (40331).

2²⁰⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

208144 is a deficient number, since it is larger than the sum of its proper divisors (195166).

208144 is a wasteful number, since it uses less digits than its factorization.

208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 208144 is about 456.2280131689. The cubic root of 208144 is about 59.2635912728.

Adding to 208144 its reverse (441802), we get a palindrome (649946).

The spelling of 208144 in words is "two hundred eight thousand, one hundred forty-four".