687680033 has 2 divisors, whose sum is σ = 687680034. Its totient is φ = 687680032.

The previous prime is 687680009. The next prime is 687680047. The reversal of 687680033 is 330086786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 685811344 + 1868689 = 26188^2 + 1367^2 .

It is a cyclic number.

It is not a de Polignac number, because 687680033 - 2⁶ = 687679969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (687680233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343840016 + 343840017.

It is an arithmetic number, because the mean of its divisors is an integer number (343840017).

Almost surely, 2^687680033 is an apocalyptic number.

It is an amenable number.

687680033 is a deficient number, since it is larger than the sum of its proper divisors (1).

687680033 is an equidigital number, since it uses as much as digits as its factorization.

687680033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 687680033 is about 26223.6540741370. The cubic root of 687680033 is about 882.6641170110.

The spelling of 687680033 in words is "six hundred eighty-seven million, six hundred eighty thousand, thirty-three".