413597 has 2 divisors, whose sum is σ = 413598. Its totient is φ = 413596.

The previous prime is 413587. The next prime is 413629. The reversal of 413597 is 795314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395641 + 17956 = 629^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 413597 - 2⁶ = 413533 is a prime.

It is a Chen prime.

It is equal to p₃₄₈₈₆ and since 413597 and 34886 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206798 + 206799.

It is an arithmetic number, because the mean of its divisors is an integer number (206799).

2⁴¹³⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

413597 is a deficient number, since it is larger than the sum of its proper divisors (1).

413597 is an equidigital number, since it uses as much as digits as its factorization.

413597 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3780, while the sum is 29.

The square root of 413597 is about 643.1150752393. The cubic root of 413597 is about 74.5062079117.

The spelling of 413597 in words is "four hundred thirteen thousand, five hundred ninety-seven".