11821953 has 32 divisors (see below), whose sum is σ = 19619712. Its totient is φ = 6220800.

The previous prime is 11821913. The next prime is 11821961. The reversal of 11821953 is 35912811.

11821953 is a nontrivial binomial coefficient, being equal to C(4863, 2).

It is not a de Polignac number, because 11821953 - 2¹⁷ = 11690881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11821953.

It is not an unprimeable number, because it can be changed into a prime (11821903) 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, 6483 + ... + 8103.

It is an arithmetic number, because the mean of its divisors is an integer number (613116).

Almost surely, 2^11821953 is an apocalyptic number.

11821953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11821953 is the 4862-nd triangular number.

It is an amenable number.

11821953 is a deficient number, since it is larger than the sum of its proper divisors (7797759).

11821953 is a wasteful number, since it uses less digits than its factorization.

11821953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665.

The product of its digits is 2160, while the sum is 30.

The square root of 11821953 is about 3438.3067053420. The cubic root of 11821953 is about 227.8049077518.

The spelling of 11821953 in words is "eleven million, eight hundred twenty-one thousand, nine hundred fifty-three".