958598401 has 2 divisors, whose sum is σ = 958598402. Its totient is φ = 958598400.

The previous prime is 958598369. The next prime is 958598411. The reversal of 958598401 is 104895859.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 883516176 + 75082225 = 29724^2 + 8665^2 .

It is an emirp because it is prime and its reverse (104895859) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 958598401 - 2⁵ = 958598369 is a prime.

It is not a weakly prime, because it can be changed into another prime (958598411) 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, 479299200 + 479299201.

It is an arithmetic number, because the mean of its divisors is an integer number (479299201).

Almost surely, 2^958598401 is an apocalyptic number.

It is an amenable number.

958598401 is a deficient number, since it is larger than the sum of its proper divisors (1).

958598401 is an equidigital number, since it uses as much as digits as its factorization.

958598401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 49.

The square root of 958598401 is about 30961.2403013833. The cubic root of 958598401 is about 986.0045069581.

The spelling of 958598401 in words is "nine hundred fifty-eight million, five hundred ninety-eight thousand, four hundred one".