11845953 has 32 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 6715008.

The previous prime is 11845909. The next prime is 11845969. The reversal of 11845953 is 35954811.

11845953 is nontrivially palindromic in base 13.

It is a de Polignac number, because none of the positive numbers 2^k-11845953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11845993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43903 + ... + 44171.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^11845953 is an apocalyptic number.

It is an amenable number.

11845953 is a deficient number, since it is larger than the sum of its proper divisors (8371647).

11845953 is a wasteful number, since it uses less digits than its factorization.

11845953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 11845953 is about 3441.7950258550. The cubic root of 11845953 is about 227.9589607576.

The spelling of 11845953 in words is "eleven million, eight hundred forty-five thousand, nine hundred fifty-three".