258697 has 2 divisors, whose sum is σ = 258698. Its totient is φ = 258696.

The previous prime is 258691. The next prime is 258703. The reversal of 258697 is 796852.

It is a balanced prime because it is at equal distance from previous prime (258691) and next prime (258703).

It can be written as a sum of positive squares in only one way, i.e., 163216 + 95481 = 404^2 + 309^2 .

It is a cyclic number.

It is not a de Polignac number, because 258697 - 2⁷ = 258569 is a prime.

It is not a weakly prime, because it can be changed into another prime (258691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129348 + 129349.

It is an arithmetic number, because the mean of its divisors is an integer number (129349).

2²⁵⁸⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

258697 is a deficient number, since it is larger than the sum of its proper divisors (1).

258697 is an equidigital number, since it uses as much as digits as its factorization.

258697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 37.

The square root of 258697 is about 508.6226499086. The cubic root of 258697 is about 63.7182438275.

The spelling of 258697 in words is "two hundred fifty-eight thousand, six hundred ninety-seven".