16977961 has 24 divisors (see below), whose sum is σ = 23212224. Its totient is φ = 12206880.

The previous prime is 16977959. The next prime is 16977973.

16977961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16977961 - 2¹ = 16977959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16977901) 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 23 ways as a sum of consecutive naturals, for example, 5796 + ... + 8218.

It is an arithmetic number, because the mean of its divisors is an integer number (967176).

Almost surely, 2^16977961 is an apocalyptic number.

16977961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16977961 is a deficient number, since it is larger than the sum of its proper divisors (6234263).

16977961 is a wasteful number, since it uses less digits than its factorization.

16977961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2454 counting only the distinct ones).

The product of its digits is 142884, while the sum is 46.

The square root of 16977961 is about 4120.4321375312. The cubic root of 16977961 is about 257.0169963576.

The spelling of 16977961 in words is "sixteen million, nine hundred seventy-seven thousand, nine hundred sixty-one".