895146561 has 9 divisors (see below), whose sum is σ = 1293119139. Its totient is φ = 596704536.

The previous prime is 895146559. The next prime is 895146641. The reversal of 895146561 is 165641598.

The square root of 895146561 is 29919.

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

895146561 is a `hidden beast` number, since 89 + 5 + 1 + 4 + 6 + 561 = 666.

895146561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 108680625 + 786465936 = 10425^2 + 28044^2 .

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

It is not a de Polignac number, because 895146561 - 2¹ = 895146559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (895142561) 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, 84771 + ... + 94743.

Almost surely, 2^895146561 is an apocalyptic number.

895146561 is the 29919-th square number.

895146561 is the 14960-th centered octagonal number.

It is an amenable number.

895146561 is a deficient number, since it is larger than the sum of its proper divisors (397972578).

895146561 is an frugal number, since it uses more digits than its factorization.

895146561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19952 (or 9976 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The cubic root of 895146561 is about 963.7507207270.

It can be divided in two parts, 895 and 146561, that added together give a square (147456 = 384²).

The spelling of 895146561 in words is "eight hundred ninety-five million, one hundred forty-six thousand, five hundred sixty-one".