40564161 has 27 divisors (see below), whose sum is σ = 64738947. Its totient is φ = 24456960.

The previous prime is 40564103. The next prime is 40564163. The reversal of 40564161 is 16146504.

The square root of 40564161 is 6369.

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

40564161 is a `hidden beast` number, since 40 + 564 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 30735936 = 3135^2 + 5544^2 .

It is a de Polignac number, because none of the positive numbers 2^k-40564161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40564163) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210081 + ... + 210273.

Almost surely, 2^40564161 is an apocalyptic number.

40564161 is the 6369-th square number.

40564161 is the 3185-th centered octagonal number.

It is an amenable number.

40564161 is a deficient number, since it is larger than the sum of its proper divisors (24174786).

40564161 is a wasteful number, since it uses less digits than its factorization.

40564161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 40564161 is about 343.5955252590.

The spelling of 40564161 in words is "forty million, five hundred sixty-four thousand, one hundred sixty-one".