36673306337 has 2 divisors, whose sum is σ = 36673306338. Its totient is φ = 36673306336.

The previous prime is 36673306309. The next prime is 36673306339. The reversal of 36673306337 is 73360337663.

36673306337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36370685521 + 302620816 = 190711^2 + 17396^2 .

It is a cyclic number.

It is not a de Polignac number, because 36673306337 - 2⁶ = 36673306273 is a prime.

Together with 36673306339, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36673306291 and 36673306300.

It is not a weakly prime, because it can be changed into another prime (36673306339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18336653168 + 18336653169.

It is an arithmetic number, because the mean of its divisors is an integer number (18336653169).

Almost surely, 2^36673306337 is an apocalyptic number.

It is an amenable number.

36673306337 is a deficient number, since it is larger than the sum of its proper divisors (1).

36673306337 is an equidigital number, since it uses as much as digits as its factorization.

36673306337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2571912, while the sum is 47.

The spelling of 36673306337 in words is "thirty-six billion, six hundred seventy-three million, three hundred six thousand, three hundred thirty-seven".