258947 has 4 divisors (see below), whose sum is σ = 278880. Its totient is φ = 239016.

The previous prime is 258919. The next prime is 258949. The reversal of 258947 is 749852.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 258947 - 2⁸ = 258691 is a prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 5⁶ + 9⁵ + 8² + 4⁵ + 7⁶ .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258947.

It is not an unprimeable number, because it can be changed into a prime (258949) 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 3 ways as a sum of consecutive naturals, for example, 9947 + ... + 9972.

It is an arithmetic number, because the mean of its divisors is an integer number (69720).

2²⁵⁸⁹⁴⁷ is an apocalyptic number.

258947 is a deficient number, since it is larger than the sum of its proper divisors (19933).

258947 is a wasteful number, since it uses less digits than its factorization.

258947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932.

The product of its digits is 20160, while the sum is 35.

The square root of 258947 is about 508.8683523270. The cubic root of 258947 is about 63.7387625970.

The spelling of 258947 in words is "two hundred fifty-eight thousand, nine hundred forty-seven".