417397 has 8 divisors (see below), whose sum is σ = 444600. Its totient is φ = 391104.

The previous prime is 417383. The next prime is 417419. The reversal of 417397 is 793714.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 323761 = 306^2 + 569^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417397 is a prime.

It is a Duffinian number.

417397 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 1267.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2⁴¹⁷³⁹⁷ is an apocalyptic number.

It is an amenable number.

417397 is a deficient number, since it is larger than the sum of its proper divisors (27203).

417397 is a wasteful number, since it uses less digits than its factorization.

417397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its digits is 5292, while the sum is 31.

The square root of 417397 is about 646.0626904566. The cubic root of 417397 is about 74.7336925609.

The spelling of 417397 in words is "four hundred seventeen thousand, three hundred ninety-seven".