16951 has 8 divisors (see below), whose sum is σ = 19584. Its totient is φ = 14520.

The previous prime is 16943. The next prime is 16963. The reversal of 16951 is 15961.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 16951 - 2³ = 16943 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (2448).

2¹⁶⁹⁵¹ is an apocalyptic number.

16951 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16951 is a deficient number, since it is larger than the sum of its proper divisors (2633).

16951 is a wasteful number, since it uses less digits than its factorization.

16951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101.

The product of its digits is 270, while the sum is 22.

The square root of 16951 is about 130.1960060831. The cubic root of 16951 is about 25.6880876626.

Subtracting from 16951 its reverse (15961), we obtain a triangular number (990 = T₄₄).

The spelling of 16951 in words is "sixteen thousand, nine hundred fifty-one".