597361 has 2 divisors, whose sum is σ = 597362. Its totient is φ = 597360.

The previous prime is 597353. The next prime is 597367. The reversal of 597361 is 163795.

597361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 78961 = 720^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 597361 - 2³ = 597353 is a prime.

It is not a weakly prime, because it can be changed into another prime (597367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 298680 + 298681.

It is an arithmetic number, because the mean of its divisors is an integer number (298681).

2⁵⁹⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

597361 is a deficient number, since it is larger than the sum of its proper divisors (1).

597361 is an equidigital number, since it uses as much as digits as its factorization.

597361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5670, while the sum is 31.

The square root of 597361 is about 772.8913248316. The cubic root of 597361 is about 84.2194281914.

The spelling of 597361 in words is "five hundred ninety-seven thousand, three hundred sixty-one".