968978401 has 2 divisors, whose sum is σ = 968978402. Its totient is φ = 968978400.

The previous prime is 968978399. The next prime is 968978407. The reversal of 968978401 is 104879869.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 830304225 + 138674176 = 28815^2 + 11776^2 .

It is a cyclic number.

It is not a de Polignac number, because 968978401 - 2¹ = 968978399 is a prime.

Together with 968978399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (968978407) 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, 484489200 + 484489201.

It is an arithmetic number, because the mean of its divisors is an integer number (484489201).

Almost surely, 2^968978401 is an apocalyptic number.

It is an amenable number.

968978401 is a deficient number, since it is larger than the sum of its proper divisors (1).

968978401 is an equidigital number, since it uses as much as digits as its factorization.

968978401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 968978401 is about 31128.4179006900. The cubic root of 968978401 is about 989.5506585807.

The spelling of 968978401 in words is "nine hundred sixty-eight million, nine hundred seventy-eight thousand, four hundred one".