10387729 has 9 divisors (see below), whose sum is σ = 11457019. Its totient is φ = 9411160.

The previous prime is 10387723. The next prime is 10387739. The reversal of 10387729 is 92778301.

The square root of 10387729 is 3223.

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

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 559504 = 3135^2 + 748^2 .

It is not a de Polignac number, because 10387729 - 2³ = 10387721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10387721) 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, 35307 + ... + 35599.

Almost surely, 2^10387729 is an apocalyptic number.

10387729 is the 3223-rd square number.

10387729 is the 1612-nd centered octagonal number.

It is an amenable number.

10387729 is a deficient number, since it is larger than the sum of its proper divisors (1069290).

10387729 is an frugal number, since it uses more digits than its factorization.

10387729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

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

The cubic root of 10387729 is about 218.1926935814.

The spelling of 10387729 in words is "ten million, three hundred eighty-seven thousand, seven hundred twenty-nine".