414397 has 2 divisors, whose sum is σ = 414398. Its totient is φ = 414396.

The previous prime is 414389. The next prime is 414413. The reversal of 414397 is 793414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 116281 = 546^2 + 341^2 .

It is a cyclic number.

It is not a de Polignac number, because 414397 - 2³ = 414389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207198 + 207199.

It is an arithmetic number, because the mean of its divisors is an integer number (207199).

2⁴¹⁴³⁹⁷ is an apocalyptic number.

It is an amenable number.

414397 is a deficient number, since it is larger than the sum of its proper divisors (1).

414397 is an equidigital number, since it uses as much as digits as its factorization.

414397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 414397 is about 643.7367474364. The cubic root of 414397 is about 74.5542148503.

The spelling of 414397 in words is "four hundred fourteen thousand, three hundred ninety-seven".