10820137 has 2 divisors, whose sum is σ = 10820138. Its totient is φ = 10820136.

The previous prime is 10820113. The next prime is 10820141. The reversal of 10820137 is 73102801.

10820137 is digitally balanced in base 3, 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., 10342656 + 477481 = 3216^2 + 691^2 .

It is an emirp because it is prime and its reverse (73102801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10820137 - 2⁷ = 10820009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10820437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410068 + 5410069.

It is an arithmetic number, because the mean of its divisors is an integer number (5410069).

Almost surely, 2^10820137 is an apocalyptic number.

It is an amenable number.

10820137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10820137 is an equidigital number, since it uses as much as digits as its factorization.

10820137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10820137 is about 3289.3976652269. The cubic root of 10820137 is about 221.1791848867.

Adding to 10820137 its reverse (73102801), we get a palindrome (83922938).

The spelling of 10820137 in words is "ten million, eight hundred twenty thousand, one hundred thirty-seven".