10771137 has 40 divisors (see below), whose sum is σ = 17746344. Its totient is φ = 6469632.

The previous prime is 10771133. The next prime is 10771139. The reversal of 10771137 is 73117701.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 10439361 = 576^2 + 3231^2 .

It is not a de Polignac number, because 10771137 - 2² = 10771133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10771137.

It is not an unprimeable number, because it can be changed into a prime (10771133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55713 + ... + 55905.

Almost surely, 2^10771137 is an apocalyptic number.

It is an amenable number.

10771137 is a deficient number, since it is larger than the sum of its proper divisors (6975207).

10771137 is a wasteful number, since it uses less digits than its factorization.

10771137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

The square root of 10771137 is about 3281.9410415180. The cubic root of 10771137 is about 220.8448027586.

Adding to 10771137 its reverse (73117701), we get a palindrome (83888838).

The spelling of 10771137 in words is "ten million, seven hundred seventy-one thousand, one hundred thirty-seven".