9780137 has 2 divisors, whose sum is σ = 9780138. Its totient is φ = 9780136.

The previous prime is 9780131. The next prime is 9780149. The reversal of 9780137 is 7310879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7054336 + 2725801 = 2656^2 + 1651^2 .

It is a cyclic number.

It is not a de Polignac number, because 9780137 - 2⁸ = 9779881 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 9780097 and 9780106.

It is not a weakly prime, because it can be changed into another prime (9780131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4890068 + 4890069.

It is an arithmetic number, because the mean of its divisors is an integer number (4890069).

Almost surely, 2^9780137 is an apocalyptic number.

It is an amenable number.

9780137 is a deficient number, since it is larger than the sum of its proper divisors (1).

9780137 is an equidigital number, since it uses as much as digits as its factorization.

9780137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 9780137 is about 3127.3210580303. The cubic root of 9780137 is about 213.8528189946.

The spelling of 9780137 in words is "nine million, seven hundred eighty thousand, one hundred thirty-seven".