396361 has 6 divisors (see below), whose sum is σ = 461130. Its totient is φ = 339696.

The previous prime is 396353. The next prime is 396373. The reversal of 396361 is 163693.

It can be written as a sum of positive squares in only one way, i.e., 219961 + 176400 = 469^2 + 420^2 .

It is not a de Polignac number, because 396361 - 2³ = 396353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (396301) 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 5 ways as a sum of consecutive naturals, for example, 3996 + ... + 4093.

It is an arithmetic number, because the mean of its divisors is an integer number (76855).

2³⁹⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

396361 is a deficient number, since it is larger than the sum of its proper divisors (64769).

396361 is an equidigital number, since it uses as much as digits as its factorization.

396361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103 (or 8096 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 396361 is about 629.5720768903. The cubic root of 396361 is about 73.4565124457.

It can be divided in two parts, 396 and 361, that added together give a palindrome (757).

The spelling of 396361 in words is "three hundred ninety-six thousand, three hundred sixty-one".