10766537 has 2 divisors, whose sum is σ = 10766538. Its totient is φ = 10766536.

The previous prime is 10766531. The next prime is 10766543. The reversal of 10766537 is 73566701.

It is a balanced prime because it is at equal distance from previous prime (10766531) and next prime (10766543).

It can be written as a sum of positive squares in only one way, i.e., 9066121 + 1700416 = 3011^2 + 1304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10766537 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10766497 and 10766506.

It is not a weakly prime, because it can be changed into another prime (10766531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5383268 + 5383269.

It is an arithmetic number, because the mean of its divisors is an integer number (5383269).

Almost surely, 2^10766537 is an apocalyptic number.

It is an amenable number.

10766537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10766537 is an equidigital number, since it uses as much as digits as its factorization.

10766537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 10766537 is about 3281.2401618900. The cubic root of 10766537 is about 220.8133597536.

The spelling of 10766537 in words is "ten million, seven hundred sixty-six thousand, five hundred thirty-seven".