393397 has 8 divisors (see below), whose sum is σ = 423576. Its totient is φ = 364032.

The previous prime is 393383. The next prime is 393401. The reversal of 393397 is 793393.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 358801 = 186^2 + 599^2 .

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-393397 is a prime.

It is a super-2 number, since 2×393397² = 309522399218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (52947).

2³⁹³³⁹⁷ is an apocalyptic number.

It is an amenable number.

393397 is a deficient number, since it is larger than the sum of its proper divisors (30179).

393397 is a wasteful number, since it uses less digits than its factorization.

393397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 15309, while the sum is 34.

The square root of 393397 is about 627.2136796978. The cubic root of 393397 is about 73.2729507538.

It can be divided in two parts, 3933 and 97, that multiplied together give a triangular number (381501 = T₈₇₃).

The spelling of 393397 in words is "three hundred ninety-three thousand, three hundred ninety-seven".