64958401 has 2 divisors, whose sum is σ = 64958402. Its totient is φ = 64958400.

The previous prime is 64958381. The next prime is 64958407. The reversal of 64958401 is 10485946.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56250000 + 8708401 = 7500^2 + 2951^2 .

It is a cyclic number.

It is not a de Polignac number, because 64958401 - 2¹⁵ = 64925633 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (64958407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32479200 + 32479201.

It is an arithmetic number, because the mean of its divisors is an integer number (32479201).

Almost surely, 2^64958401 is an apocalyptic number.

It is an amenable number.

64958401 is a deficient number, since it is larger than the sum of its proper divisors (1).

64958401 is an equidigital number, since it uses as much as digits as its factorization.

64958401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 64958401 is about 8059.6774749366. The cubic root of 64958401 is about 401.9867841336.

The spelling of 64958401 in words is "sixty-four million, nine hundred fifty-eight thousand, four hundred one".