258610997 has 2 divisors, whose sum is σ = 258610998. Its totient is φ = 258610996.

The previous prime is 258610969. The next prime is 258610999. The reversal of 258610997 is 799016852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171767236 + 86843761 = 13106^2 + 9319^2 .

It is a cyclic number.

It is not a de Polignac number, because 258610997 - 2²² = 254416693 is a prime.

Together with 258610999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258610999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129305498 + 129305499.

It is an arithmetic number, because the mean of its divisors is an integer number (129305499).

Almost surely, 2^258610997 is an apocalyptic number.

It is an amenable number.

258610997 is a deficient number, since it is larger than the sum of its proper divisors (1).

258610997 is an equidigital number, since it uses as much as digits as its factorization.

258610997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 258610997 is about 16081.3866628472. The cubic root of 258610997 is about 637.1118206859. Note that the first 3 decimals are identical.

The spelling of 258610997 in words is "two hundred fifty-eight million, six hundred ten thousand, nine hundred ninety-seven".