682801 has 8 divisors (see below), whose sum is σ = 814464. Its totient is φ = 559680.

The previous prime is 682789. The next prime is 682811. The reversal of 682801 is 108286.

682801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 682801 - 2⁷ = 682673 is a prime.

It is a cake number, because a cake can be divided into 682801 parts by 160 planar cuts.

682801 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1960 + ... + 2281.

It is an arithmetic number, because the mean of its divisors is an integer number (101808).

2⁶⁸²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

682801 is a deficient number, since it is larger than the sum of its proper divisors (131663).

682801 is a wasteful number, since it uses less digits than its factorization.

682801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 682801 is about 826.3177354989. The cubic root of 682801 is about 88.0571684315.

The spelling of 682801 in words is "six hundred eighty-two thousand, eight hundred one".