397617 has 8 divisors (see below), whose sum is σ = 578400. Its totient is φ = 240960.

The previous prime is 397597. The next prime is 397633. The reversal of 397617 is 716793.

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

It is not a de Polignac number, because 397617 - 2⁷ = 397489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 12049 = 397617 / (3 + 9 + 7 + 6 + 1 + 7).

It is not an unprimeable number, because it can be changed into a prime (397687) 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, 5992 + ... + 6057.

It is an arithmetic number, because the mean of its divisors is an integer number (72300).

2³⁹⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

397617 is a deficient number, since it is larger than the sum of its proper divisors (180783).

397617 is a wasteful number, since it uses less digits than its factorization.

397617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063.

The product of its digits is 7938, while the sum is 33.

The square root of 397617 is about 630.5687908547. The cubic root of 397617 is about 73.5340209942.

It can be divided in two parts, 3976 and 17, that added together give a palindrome (3993).

The spelling of 397617 in words is "three hundred ninety-seven thousand, six hundred seventeen".