678829 has 2 divisors, whose sum is σ = 678830. Its totient is φ = 678828.

The previous prime is 678823. The next prime is 678833. The reversal of 678829 is 928876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 42025 = 798^2 + 205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-678829 is a prime.

It is a super-2 number, since 2×678829² = 921617622482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 678791 and 678800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (678823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 339414 + 339415.

It is an arithmetic number, because the mean of its divisors is an integer number (339415).

2⁶⁷⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

678829 is a deficient number, since it is larger than the sum of its proper divisors (1).

678829 is an equidigital number, since it uses as much as digits as its factorization.

678829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48384, while the sum is 40.

The square root of 678829 is about 823.9107961424. The cubic root of 678829 is about 87.8860871116.

Subtracting 678829 from its reverse (928876), we obtain a cube (250047 = 63³).

The spelling of 678829 in words is "six hundred seventy-eight thousand, eight hundred twenty-nine".