9785415961 has 2 divisors, whose sum is σ = 9785415962. Its totient is φ = 9785415960.

The previous prime is 9785415881. The next prime is 9785416009. The reversal of 9785415961 is 1695145879.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5381102736 + 4404313225 = 73356^2 + 66365^2 .

It is a cyclic number.

It is not a de Polignac number, because 9785415961 - 2¹³ = 9785407769 is a prime.

It is not a weakly prime, because it can be changed into another prime (9785415361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4892707980 + 4892707981.

It is an arithmetic number, because the mean of its divisors is an integer number (4892707981).

Almost surely, 2^9785415961 is an apocalyptic number.

It is an amenable number.

9785415961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9785415961 is an equidigital number, since it uses as much as digits as its factorization.

9785415961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2721600, while the sum is 55.

The square root of 9785415961 is about 98921.2614203842. The cubic root of 9785415961 is about 2138.9128872272.

The spelling of 9785415961 in words is "nine billion, seven hundred eighty-five million, four hundred fifteen thousand, nine hundred sixty-one".