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9610961 = 31273137
BaseRepresentation
bin100100101010…
…011011010001
3200002021202112
4210222123101
54430022321
6541555105
7144456203
oct44523321
920067675
109610961
115474948
123275a95
131cb6779
1413c2773
15c9ca5b
hex92a6d1

9610961 has 12 divisors (see below), whose sum is σ = 10140516. Its totient is φ = 9106560.

The previous prime is 9610957. The next prime is 9610981. The reversal of 9610961 is 1690169.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 4060225 = 2356^2 + 2015^2 .

It is not a de Polignac number, because 9610961 - 22 = 9610957 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9610981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70085 + ... + 70221.

It is an arithmetic number, because the mean of its divisors is an integer number (845043).

Almost surely, 29610961 is an apocalyptic number.

It is an amenable number.

9610961 is a deficient number, since it is larger than the sum of its proper divisors (529555).

9610961 is a wasteful number, since it uses less digits than its factorization.

9610961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 9610961 is about 3100.1549961252. The cubic root of 9610961 is about 212.6125705750.

Multiplying 9610961 by its reverse (1690169), we get a square (16244148342409 = 40304032).

The spelling of 9610961 in words is "nine million, six hundred ten thousand, nine hundred sixty-one".

Divisors: 1 31 73 137 961 2263 4247 10001 70153 131657 310031 9610961