259965 has 24 divisors (see below), whose sum is σ = 463320. Its totient is φ = 134784.

The previous prime is 259949. The next prime is 259967. The reversal of 259965 is 569952.

259965 = T₁₀ + T₁₁ + ... + T₁₁₅.

259965 is a `hidden beast` number, since 2 + 599 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 191844 = 261^2 + 438^2 .

It is not a de Polignac number, because 259965 - 2⁴ = 259949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2²⁵⁹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

259965 is a deficient number, since it is larger than the sum of its proper divisors (203355).

259965 is a wasteful number, since it uses less digits than its factorization.

259965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 259965 is about 509.8676298805. The cubic root of 259965 is about 63.8221789158.

The spelling of 259965 in words is "two hundred fifty-nine thousand, nine hundred sixty-five".