16952 has 16 divisors (see below), whose sum is σ = 34440. Its totient is φ = 7776.

The previous prime is 16943. The next prime is 16963. The reversal of 16952 is 25961.

16952 is nontrivially palindromic in base 3 and base 11.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 185.

2¹⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220).

16952 is an abundant number, since it is smaller than the sum of its proper divisors (17488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16952 is a wasteful number, since it uses less digits than its factorization.

16952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 16952 is about 130.1998463901. The cubic root of 16952 is about 25.6885927967.

Subtracting 16952 from its reverse (25961), we obtain a palindrome (9009).

The spelling of 16952 in words is "sixteen thousand, nine hundred fifty-two".