678013 has 12 divisors (see below), whose sum is σ = 802332. Its totient is φ = 571200.

The previous prime is 677983. The next prime is 678023. The reversal of 678013 is 310876.

678013 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 550564 + 127449 = 742^2 + 357^2 .

It is a de Polignac number, because none of the positive numbers 2^k-678013 is a prime.

It is a Duffinian number.

678013 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4881 + ... + 5017.

It is an arithmetic number, because the mean of its divisors is an integer number (66861).

2⁶⁷⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

678013 is a deficient number, since it is larger than the sum of its proper divisors (124319).

678013 is a wasteful number, since it uses less digits than its factorization.

678013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 678013 is about 823.4154479969. The cubic root of 678013 is about 87.8508579145.

Adding to 678013 its reverse (310876), we get a palindrome (988889).

The spelling of 678013 in words is "six hundred seventy-eight thousand, thirteen".