259161 has 24 divisors (see below), whose sum is σ = 421344. Its totient is φ = 141120.

The previous prime is 259159. The next prime is 259163. The reversal of 259161 is 161952.

259161 = T₁₈ + T₁₉ + ... + T₁₁₅.

It is an interprime number because it is at equal distance from previous prime (259159) and next prime (259163).

It is not a de Polignac number, because 259161 - 2¹ = 259159 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259161.

It is not an unprimeable number, because it can be changed into a prime (259163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6006 + ... + 6048.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2²⁵⁹¹⁶¹ is an apocalyptic number.

259161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

259161 is a deficient number, since it is larger than the sum of its proper divisors (162183).

259161 is a wasteful number, since it uses less digits than its factorization.

259161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 259161 is about 509.0785793961. The cubic root of 259161 is about 63.7563161754.

The spelling of 259161 in words is "two hundred fifty-nine thousand, one hundred sixty-one".