968205457 has 8 divisors (see below), whose sum is σ = 980591400. Its totient is φ = 955853184.

The previous prime is 968205449. The next prime is 968205461. The reversal of 968205457 is 754502869.

968205457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 31116²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 185940496 + 782264961 = 13636^2 + 27969^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 968205457 - 2³ = 968205449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968205467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52219 + ... + 68287.

It is an arithmetic number, because the mean of its divisors is an integer number (122573925).

Almost surely, 2^968205457 is an apocalyptic number.

It is an amenable number.

968205457 is a deficient number, since it is larger than the sum of its proper divisors (12385943).

968205457 is a wasteful number, since it uses less digits than its factorization.

968205457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16835.

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 968205457 is about 31116.0000160689. Note that the first 4 decimals coincide. The cubic root of 968205457 is about 989.2874704955.

The spelling of 968205457 in words is "nine hundred sixty-eight million, two hundred five thousand, four hundred fifty-seven".