18458729 has 2 divisors, whose sum is σ = 18458730. Its totient is φ = 18458728.

The previous prime is 18458711. The next prime is 18458743. The reversal of 18458729 is 92785481.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16362025 + 2096704 = 4045^2 + 1448^2 .

It is a cyclic number.

It is not a de Polignac number, because 18458729 - 2²⁰ = 17410153 is a prime.

It is a super-3 number, since 3×18458729³ (a number of 23 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18458729.

It is not a weakly prime, because it can be changed into another prime (18458749) 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 as a sum of consecutive naturals, namely, 9229364 + 9229365.

It is an arithmetic number, because the mean of its divisors is an integer number (9229365).

Almost surely, 2^18458729 is an apocalyptic number.

It is an amenable number.

18458729 is a deficient number, since it is larger than the sum of its proper divisors (1).

18458729 is an equidigital number, since it uses as much as digits as its factorization.

18458729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 161280, while the sum is 44.

The square root of 18458729 is about 4296.3622985032. The cubic root of 18458729 is about 264.2818051806.

The spelling of 18458729 in words is "eighteen million, four hundred fifty-eight thousand, seven hundred twenty-nine".