9961705 has 12 divisors (see below), whose sum is σ = 12945420. Its totient is φ = 7355712.

The previous prime is 9961687. The next prime is 9961723. The reversal of 9961705 is 5071699.

It is an interprime number because it is at equal distance from previous prime (9961687) and next prime (9961723).

It can be written as a sum of positive squares in 6 ways, for example, as 4822416 + 5139289 = 2196^2 + 2267^2 .

It is not a de Polignac number, because 9961705 - 2⁵ = 9961673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5050 + ... + 6739.

It is an arithmetic number, because the mean of its divisors is an integer number (1078785).

Almost surely, 2^9961705 is an apocalyptic number.

It is an amenable number.

9961705 is a deficient number, since it is larger than the sum of its proper divisors (2983715).

9961705 is a wasteful number, since it uses less digits than its factorization.

9961705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11820 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 9961705 is about 3156.2168810144. The cubic root of 9961705 is about 215.1681036114.

It can be divided in two parts, 996 and 1705, that added together give a triangular number (2701 = T₇₃).

The spelling of 9961705 in words is "nine million, nine hundred sixty-one thousand, seven hundred five".