• 258997² = 67079446009 is an anagram of the next square 258998² = 67079964004.

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258997 has 4 divisors (see below), whose sum is σ = 265356. Its totient is φ = 252640.

The previous prime is 258991. The next prime is 259001. The reversal of 258997 is 799852.

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

It can be written as a sum of positive squares in 2 ways, for example, as 64516 + 194481 = 254^2 + 441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258997 is a prime.

It is a Duffinian number.

258997 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3118 + ... + 3199.

It is an arithmetic number, because the mean of its divisors is an integer number (66339).

2²⁵⁸⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

258997 is a deficient number, since it is larger than the sum of its proper divisors (6359).

258997 is an equidigital number, since it uses as much as digits as its factorization.

258997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358.

The product of its digits is 45360, while the sum is 40.

The square root of 258997 is about 508.9174785758. The cubic root of 258997 is about 63.7428647659.

The spelling of 258997 in words is "two hundred fifty-eight thousand, nine hundred ninety-seven".