10738729 has 9 divisors (see below), whose sum is σ = 11221093. Its totient is φ = 10276672.

The previous prime is 10738711. The next prime is 10738751. The reversal of 10738729 is 92783701.

The square root of 10738729 is 3277.

It is a perfect power (a square), and thus also a powerful number.

10738729 is digitally balanced in base 2, 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 4 ways, for example, as 3705625 + 7033104 = 1925^2 + 2652^2 .

It is not a de Polignac number, because 10738729 - 2⁵ = 10738697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10738709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94977 + ... + 95089.

Almost surely, 2^10738729 is an apocalyptic number.

10738729 is the 3277-th square number.

10738729 is the 1639-th centered octagonal number.

It is an amenable number.

10738729 is a deficient number, since it is larger than the sum of its proper divisors (482364).

10738729 is an frugal number, since it uses more digits than its factorization.

10738729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The cubic root of 10738729 is about 220.6230889792.

It can be divided in two parts, 107387 and 29, that added together give a triangular number (107416 = T₄₆₃).

The spelling of 10738729 in words is "ten million, seven hundred thirty-eight thousand, seven hundred twenty-nine".