16957 has 4 divisors (see below), whose sum is σ = 17536. Its totient is φ = 16380.

The previous prime is 16943. The next prime is 16963. The reversal of 16957 is 75961.

It is a happy number.

16957 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75961 = 37 ⋅2053.

It is a cyclic number.

It is not a de Polignac number, because 16957 - 2⁷ = 16829 is a prime.

It is a Duffinian number.

16957 is a lucky 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 (16927) 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 3 ways as a sum of consecutive naturals, for example, 243 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (4384).

2¹⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

16957 is a deficient number, since it is larger than the sum of its proper divisors (579).

16957 is an equidigital number, since it uses as much as digits as its factorization.

16957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its digits is 1890, while the sum is 28.

The square root of 16957 is about 130.2190462260. The cubic root of 16957 is about 25.6911181691.

The spelling of 16957 in words is "sixteen thousand, nine hundred fifty-seven".