396577 has 2 divisors, whose sum is σ = 396578. Its totient is φ = 396576.

The previous prime is 396563. The next prime is 396581. The reversal of 396577 is 775693.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 130321 = 516^2 + 361^2 .

It is a cyclic number.

It is not a de Polignac number, because 396577 - 2⁷ = 396449 is a prime.

It is not a weakly prime, because it can be changed into another prime (396527) 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 as a sum of consecutive naturals, namely, 198288 + 198289.

It is an arithmetic number, because the mean of its divisors is an integer number (198289).

2³⁹⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

396577 is a deficient number, since it is larger than the sum of its proper divisors (1).

396577 is an equidigital number, since it uses as much as digits as its factorization.

396577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39690, while the sum is 37.

The square root of 396577 is about 629.7435986177. The cubic root of 396577 is about 73.4698535879.

It can be divided in two parts, 3 and 96577, that added together give a triangular number (96580 = T₄₃₉).

The spelling of 396577 in words is "three hundred ninety-six thousand, five hundred seventy-seven".