964584961 has 2 divisors, whose sum is σ = 964584962. Its totient is φ = 964584960.

The previous prime is 964584899. The next prime is 964584967. The reversal of 964584961 is 169485469.

It is a happy number.

964584961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 554319936 + 410265025 = 23544^2 + 20255^2 .

It is a cyclic number.

It is not a de Polignac number, because 964584961 - 2²⁷ = 830367233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 964584899 and 964584908.

It is not a weakly prime, because it can be changed into another prime (964584967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 482292480 + 482292481.

It is an arithmetic number, because the mean of its divisors is an integer number (482292481).

Almost surely, 2^964584961 is an apocalyptic number.

It is an amenable number.

964584961 is a deficient number, since it is larger than the sum of its proper divisors (1).

964584961 is an equidigital number, since it uses as much as digits as its factorization.

964584961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1866240, while the sum is 52.

The square root of 964584961 is about 31057.7681265090. The cubic root of 964584961 is about 988.0528203251.

The spelling of 964584961 in words is "nine hundred sixty-four million, five hundred eighty-four thousand, nine hundred sixty-one".