10800737 has 2 divisors, whose sum is σ = 10800738. Its totient is φ = 10800736.

The previous prime is 10800709. The next prime is 10800739. The reversal of 10800737 is 73700801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7974976 + 2825761 = 2824^2 + 1681^2 .

It is an emirp because it is prime and its reverse (73700801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10800737 - 2¹² = 10796641 is a prime.

It is a super-4 number, since 4×10800737⁴ (a number of 29 digits) contains 4444 as substring.

Together with 10800739, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10800739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5400368 + 5400369.

It is an arithmetic number, because the mean of its divisors is an integer number (5400369).

Almost surely, 2^10800737 is an apocalyptic number.

It is an amenable number.

10800737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10800737 is an equidigital number, since it uses as much as digits as its factorization.

10800737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 10800737 is about 3286.4474740972. The cubic root of 10800737 is about 221.0469178248.

The spelling of 10800737 in words is "ten million, eight hundred thousand, seven hundred thirty-seven".