393617 has 12 divisors (see below), whose sum is σ = 475380. Its totient is φ = 324576.

The previous prime is 393611. The next prime is 393629. The reversal of 393617 is 716393.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 261121 = 364^2 + 511^2 .

It is not a de Polignac number, because 393617 - 2⁸ = 393361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 393617.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393617.

It is not an unprimeable number, because it can be changed into a prime (393611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (39615).

2³⁹³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

393617 is a deficient number, since it is larger than the sum of its proper divisors (81763).

393617 is a wasteful number, since it uses less digits than its factorization.

393617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its digits is 3402, while the sum is 29.

The square root of 393617 is about 627.3890340132. The cubic root of 393617 is about 73.2866070562.

The spelling of 393617 in words is "three hundred ninety-three thousand, six hundred seventeen".