10961753 has 18 divisors (see below), whose sum is σ = 12934782. Its totient is φ = 9250560.

The previous prime is 10961747. The next prime is 10961759. The reversal of 10961753 is 35716901.

10961753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10961747) and next prime (10961759).

It can be written as a sum of positive squares in 3 ways, for example, as 3579664 + 7382089 = 1892^2 + 2717^2 .

It is not a de Polignac number, because 10961753 - 2⁴ = 10961737 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10961759) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150125 + ... + 150197.

It is an arithmetic number, because the mean of its divisors is an integer number (718599).

Almost surely, 2^10961753 is an apocalyptic number.

It is an amenable number.

10961753 is a deficient number, since it is larger than the sum of its proper divisors (1973029).

10961753 is an equidigital number, since it uses as much as digits as its factorization.

10961753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 10961753 is about 3310.8538173710. The cubic root of 10961753 is about 222.1399504430.

The spelling of 10961753 in words is "ten million, nine hundred sixty-one thousand, seven hundred fifty-three".