11851 has 4 divisors (see below), whose sum is σ = 13552. Its totient is φ = 10152.

The previous prime is 11839. The next prime is 11863. The reversal of 11851 is 15811.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15811 = 97 ⋅163.

It is an interprime number because it is at equal distance from previous prime (11839) and next prime (11863).

It is a cyclic number.

It is not a de Polignac number, because 11851 - 2¹¹ = 9803 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (11801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 840 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (3388).

2¹¹⁸⁵¹ is an apocalyptic number.

11851 is a deficient number, since it is larger than the sum of its proper divisors (1701).

11851 is an equidigital number, since it uses as much as digits as its factorization.

11851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700.

The product of its digits is 40, while the sum is 16.

The square root of 11851 is about 108.8622983406. The cubic root of 11851 is about 22.7991330336.

Subtracting from 11851 its product of digits (40), we obtain a palindrome (11811).

It can be divided in two parts, 118 and 51, that added together give a square (169 = 13²).

The spelling of 11851 in words is "eleven thousand, eight hundred fifty-one".