11951 has 8 divisors (see below), whose sum is σ = 13680. Its totient is φ = 10368.

The previous prime is 11941. The next prime is 11953. The reversal of 11951 is 15911.

It is a happy number.

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 11951 - 2⁶ = 11887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2¹¹⁹⁵¹ is an apocalyptic number.

11951 is a deficient number, since it is larger than the sum of its proper divisors (1729).

11951 is a wasteful number, since it uses less digits than its factorization.

11951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73.

The product of its digits is 45, while the sum is 17.

The square root of 11951 is about 109.3206293432. The cubic root of 11951 is about 22.8630806746.

11951 divided by its sum of digits (17) gives a triangular number (703 = T₃₇).

The spelling of 11951 in words is "eleven thousand, nine hundred fifty-one".