16944961 has 16 divisors (see below), whose sum is σ = 19324800. Its totient is φ = 14839440.

The previous prime is 16944959. The next prime is 16944973.

16944961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16944961 - 2¹ = 16944959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16944911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38380 + ... + 38818.

It is an arithmetic number, because the mean of its divisors is an integer number (1207800).

Almost surely, 2^16944961 is an apocalyptic number.

16944961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16944961 is a deficient number, since it is larger than the sum of its proper divisors (2379839).

16944961 is an equidigital number, since it uses as much as digits as its factorization.

16944961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 479 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 16944961 is about 4116.4257554340. The cubic root of 16944961 is about 256.8503673571.

The spelling of 16944961 in words is "sixteen million, nine hundred forty-four thousand, nine hundred sixty-one".