10737 has 6 divisors (see below), whose sum is σ = 15522. Its totient is φ = 7152.

The previous prime is 10733. The next prime is 10739. The reversal of 10737 is 73701.

10737 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 1521 = 96^2 + 39^2 .

It is not a de Polignac number, because 10737 - 2² = 10733 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10737.

It is not an unprimeable number, because it can be changed into a prime (10733) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (2587).

2¹⁰⁷³⁷ is an apocalyptic number.

It is an amenable number.

10737 is a deficient number, since it is larger than the sum of its proper divisors (4785).

10737 is a wasteful number, since it uses less digits than its factorization.

10737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 10737 is about 103.6194962350. The cubic root of 10737 is about 22.0611247795.

It can be divided in two parts, 107 and 37, that added together give a square (144 = 12²).

The spelling of 10737 in words is "ten thousand, seven hundred thirty-seven".