396601 has 2 divisors, whose sum is σ = 396602. Its totient is φ = 396600.

The previous prime is 396581. The next prime is 396619. The reversal of 396601 is 106693.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 7225 = 624^2 + 85^2 .

It is an emirp because it is prime and its reverse (106693) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 396601 - 2¹⁵ = 363833 is a prime.

It is equal to p₃₃₅₉₅ and since 396601 and 33595 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (396631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 198300 + 198301.

It is an arithmetic number, because the mean of its divisors is an integer number (198301).

2³⁹⁶⁶⁰¹ is an apocalyptic number.

It is an amenable number.

396601 is a deficient number, since it is larger than the sum of its proper divisors (1).

396601 is an equidigital number, since it uses as much as digits as its factorization.

396601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 396601 is about 629.7626537038. The cubic root of 396601 is about 73.4713356380.

The spelling of 396601 in words is "three hundred ninety-six thousand, six hundred one".