16966161 has 9 divisors (see below), whose sum is σ = 24524539. Its totient is φ = 11302536.

The previous prime is 16966151. The next prime is 16966163. The reversal of 16966161 is 16166961.

The square root of 16966161 is 4119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16769025 + 197136 = 4095^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 16966161 - 2⁵ = 16966129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16966163) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11671 + ... + 13043.

Almost surely, 2^16966161 is an apocalyptic number.

16966161 is the 4119-th square number.

16966161 is the 2060-th centered octagonal number.

It is an amenable number.

16966161 is a deficient number, since it is larger than the sum of its proper divisors (7558378).

16966161 is an frugal number, since it uses more digits than its factorization.

16966161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 1376 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The cubic root of 16966161 is about 256.9574386866.

Multiplying 16966161 by its sum of digits (36), we get a square (610781796 = 24714²).

Multiplying 16966161 by its product of digits (11664), we get a square (197893301904 = 444852²).

The spelling of 16966161 in words is "sixteen million, nine hundred sixty-six thousand, one hundred sixty-one".