680033 has 4 divisors (see below), whose sum is σ = 686868. Its totient is φ = 673200.

The previous prime is 680027. The next prime is 680039. The reversal of 680033 is 330086.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (680027) and next prime (680039).

It can be written as a sum of positive squares in 2 ways, for example, as 667489 + 12544 = 817^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 680033 - 2⁶ = 679969 is a prime.

It is a super-3 number, since 3×680033³ = 943433339464787811, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 679987 and 680014.

It is not an unprimeable number, because it can be changed into a prime (680039) 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 3 ways as a sum of consecutive naturals, for example, 3266 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (171717).

2⁶⁸⁰⁰³³ is an apocalyptic number.

It is an amenable number.

680033 is a deficient number, since it is larger than the sum of its proper divisors (6835).

680033 is a wasteful number, since it uses less digits than its factorization.

680033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 680033 is about 824.6411340698. The cubic root of 680033 is about 87.9380159239.

The spelling of 680033 in words is "six hundred eighty thousand, thirty-three".