678397 has 8 divisors (see below), whose sum is σ = 711000. Its totient is φ = 646464.

The previous prime is 678383. The next prime is 678401. The reversal of 678397 is 793876.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 674041 = 66^2 + 821^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 678397 - 2¹¹ = 676349 is a prime.

It is a Duffinian number.

678397 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4243 + ... + 4399.

It is an arithmetic number, because the mean of its divisors is an integer number (88875).

2⁶⁷⁸³⁹⁷ is an apocalyptic number.

It is an amenable number.

678397 is a deficient number, since it is larger than the sum of its proper divisors (32603).

678397 is a wasteful number, since it uses less digits than its factorization.

678397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 63504, while the sum is 40.

The square root of 678397 is about 823.6485901160. The cubic root of 678397 is about 87.8674398791.

It can be divided in two parts, 67 and 8397, that added together give a square (8464 = 92²).

The spelling of 678397 in words is "six hundred seventy-eight thousand, three hundred ninety-seven".