9738729 has 96 divisors (see below), whose sum is σ = 20127744. Its totient is φ = 4371840.

The previous prime is 9738721. The next prime is 9738737. The reversal of 9738729 is 9278379.

9738729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9738721) and next prime (9738737).

It is not a de Polignac number, because 9738729 - 2³ = 9738721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9738721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207184 + ... + 207230.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 2^9738729 is an apocalyptic number.

9738729 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9738729 is the 1974-th heptagonal number.

It is an amenable number.

9738729 is an abundant number, since it is smaller than the sum of its proper divisors (10389015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9738729 is a wasteful number, since it uses less digits than its factorization.

9738729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 104 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 9738729 is about 3120.6936728875. The cubic root of 9738729 is about 213.5505824533.

The spelling of 9738729 in words is "nine million, seven hundred thirty-eight thousand, seven hundred twenty-nine".