396561 has 16 divisors (see below), whose sum is σ = 589248. Its totient is φ = 235200.

The previous prime is 396547. The next prime is 396563. The reversal of 396561 is 165693.

396561 = T₂₆₃ + T₂₆₄ + ... + T₂₇₃.

It is a happy number.

It is not a de Polignac number, because 396561 - 2¹⁰ = 395537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (396563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2³⁹⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

396561 is a deficient number, since it is larger than the sum of its proper divisors (192687).

396561 is a wasteful number, since it uses less digits than its factorization.

396561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its digits is 4860, while the sum is 30.

The square root of 396561 is about 629.7308949067. The cubic root of 396561 is about 73.4688655213.

The spelling of 396561 in words is "three hundred ninety-six thousand, five hundred sixty-one".