10461953 has 8 divisors (see below), whose sum is σ = 11459880. Its totient is φ = 9506560.

The previous prime is 10461949. The next prime is 10461961. The reversal of 10461953 is 35916401.

It can be written as a sum of positive squares in 4 ways, for example, as 5895184 + 4566769 = 2428^2 + 2137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10461953 - 2² = 10461949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10461923) 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 7 ways as a sum of consecutive naturals, for example, 10118 + ... + 11103.

It is an arithmetic number, because the mean of its divisors is an integer number (1432485).

Almost surely, 2^10461953 is an apocalyptic number.

It is an amenable number.

10461953 is a deficient number, since it is larger than the sum of its proper divisors (997927).

10461953 is a wasteful number, since it uses less digits than its factorization.

10461953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21267.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 10461953 is about 3234.4942417633. The cubic root of 10461953 is about 218.7111486920.

The spelling of 10461953 in words is "ten million, four hundred sixty-one thousand, nine hundred fifty-three".