258729997 has 2 divisors, whose sum is σ = 258729998. Its totient is φ = 258729996.

The previous prime is 258729979. The next prime is 258730009. The reversal of 258729997 is 799927852.

Together with previous prime (258729979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239816196 + 18913801 = 15486^2 + 4349^2 .

It is a cyclic number.

It is not a de Polignac number, because 258729997 - 2¹¹ = 258727949 is a prime.

It is a super-2 number, since 2×258729997² = 133882422695240018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258729397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129364998 + 129364999.

It is an arithmetic number, because the mean of its divisors is an integer number (129364999).

Almost surely, 2^258729997 is an apocalyptic number.

It is an amenable number.

258729997 is a deficient number, since it is larger than the sum of its proper divisors (1).

258729997 is an equidigital number, since it uses as much as digits as its factorization.

258729997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5715360, while the sum is 58.

The square root of 258729997 is about 16085.0861670058. The cubic root of 258729997 is about 637.2095281585.

The spelling of 258729997 in words is "two hundred fifty-eight million, seven hundred twenty-nine thousand, nine hundred ninety-seven".