819960961 has 8 divisors (see below), whose sum is σ = 824336640. Its totient is φ = 815593632.

The previous prime is 819960913. The next prime is 819960989. The reversal of 819960961 is 169069918.

819960961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 819960961 - 2²³ = 811572353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819960461) 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, 310101 + ... + 312733.

It is an arithmetic number, because the mean of its divisors is an integer number (103042080).

Almost surely, 2^819960961 is an apocalyptic number.

It is an amenable number.

819960961 is a deficient number, since it is larger than the sum of its proper divisors (4375679).

819960961 is a wasteful number, since it uses less digits than its factorization.

819960961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175.

The product of its (nonzero) digits is 209952, while the sum is 49.

The square root of 819960961 is about 28634.9604679315. The cubic root of 819960961 is about 935.9753083711.

The spelling of 819960961 in words is "eight hundred nineteen million, nine hundred sixty thousand, nine hundred sixty-one".