14676561 has 9 divisors (see below), whose sum is σ = 21216091. Its totient is φ = 9776712.

The previous prime is 14676533. The next prime is 14676583. The reversal of 14676561 is 16567641.

The square root of 14676561 is 3831.

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., 9641025 + 5035536 = 3105^2 + 2244^2 .

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

It is not a de Polignac number, because 14676561 - 2⁷ = 14676433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14676511) 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, 10855 + ... + 12131.

Almost surely, 2^14676561 is an apocalyptic number.

14676561 is the 3831-st square number.

14676561 is the 1916-th centered octagonal number.

It is an amenable number.

14676561 is a deficient number, since it is larger than the sum of its proper divisors (6539530).

14676561 is an frugal number, since it uses more digits than its factorization.

14676561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 1280 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The cubic root of 14676561 is about 244.8357138238.

Multiplying 14676561 by its sum of digits (36), we get a square (528356196 = 22986²).

The spelling of 14676561 in words is "fourteen million, six hundred seventy-six thousand, five hundred sixty-one".