968516641 has 3 divisors (see below), whose sum is σ = 968547763. Its totient is φ = 968485520.

The previous prime is 968516629. The next prime is 968516651. The reversal of 968516641 is 146615869.

The square root of 968516641 is 31121.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 513974241 + 454542400 = 22671^2 + 21320^2 .

It is not a de Polignac number, because 968516641 - 2⁷ = 968516513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 968516591 and 968516600.

It is not an unprimeable number, because it can be changed into a prime (968516651) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15561 + ... + 46681.

Almost surely, 2^968516641 is an apocalyptic number.

968516641 is the 31121-st square number.

968516641 is the 15561-st centered octagonal number.

It is an amenable number.

968516641 is a deficient number, since it is larger than the sum of its proper divisors (31122).

968516641 is an frugal number, since it uses more digits than its factorization.

968516641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62242 (or 31121 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The cubic root of 968516641 is about 989.3934457491.

The spelling of 968516641 in words is "nine hundred sixty-eight million, five hundred sixteen thousand, six hundred forty-one".