259216 has 20 divisors (see below), whose sum is σ = 532332. Its totient is φ = 121856.

The previous prime is 259213. The next prime is 259219. The reversal of 259216 is 612952.

259216 = T₇₉ + T₈₀ + ... + T₁₂₆.

259216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259213) and next prime (259219).

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 102400 = 396^2 + 320^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (259211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205 + ... + 748.

2²⁵⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

259216 is an abundant number, since it is smaller than the sum of its proper divisors (273116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259216 is a wasteful number, since it uses less digits than its factorization.

259216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 259216 is about 509.1325956959. The cubic root of 259216 is about 63.7608260481.

It can be divided in two parts, 25 and 9216, that multiplied together give a square (230400 = 480²).

The spelling of 259216 in words is "two hundred fifty-nine thousand, two hundred sixteen".