654561 has 10 divisors (see below), whose sum is σ = 977922. Its totient is φ = 436320.

The previous prime is 654553. The next prime is 654571. The reversal of 654561 is 165456.

It is a happy number.

654561 is a `hidden beast` number, since 654 + 5 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 136161 = 720^2 + 369^2 .

It is not a de Polignac number, because 654561 - 2³ = 654553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

654561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (654541) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3960 + ... + 4121.

2⁶⁵⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

654561 is a deficient number, since it is larger than the sum of its proper divisors (323361).

654561 is an equidigital number, since it uses as much as digits as its factorization.

654561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8084 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 654561 is about 809.0494422469. The cubic root of 654561 is about 86.8260495763.

The spelling of 654561 in words is "six hundred fifty-four thousand, five hundred sixty-one".