11953 has 2 divisors, whose sum is σ = 11954. Its totient is φ = 11952.

The previous prime is 11941. The next prime is 11959. The reversal of 11953 is 35911.

11953 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 289 = 108^2 + 17^2 .

It is an emirp because it is prime and its reverse (35911) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11953 - 2¹³ = 3761 is a prime.

11953 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 11953.

It is not a weakly prime, because it can be changed into another prime (11959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5976 + 5977.

It is an arithmetic number, because the mean of its divisors is an integer number (5977).

2¹¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

11953 is a deficient number, since it is larger than the sum of its proper divisors (1).

11953 is an equidigital number, since it uses as much as digits as its factorization.

11953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135, while the sum is 19.

The square root of 11953 is about 109.3297763649. The cubic root of 11953 is about 22.8643559824.

The spelling of 11953 in words is "eleven thousand, nine hundred fifty-three".