9801729 has 40 divisors (see below), whose sum is σ = 17075520. Its totient is φ = 5487264.

The previous prime is 9801713. The next prime is 9801769. The reversal of 9801729 is 9271089.

It is a happy number.

It is not a de Polignac number, because 9801729 - 2⁴ = 9801713 is a prime.

9801729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9801693 and 9801702.

It is not an unprimeable number, because it can be changed into a prime (9801769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33307 + ... + 33599.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

It is a Proth number, since it is equal to 2393 ⋅ 2¹² + 1 and 2393 < 2¹².

Almost surely, 2^9801729 is an apocalyptic number.

It is an amenable number.

9801729 is a deficient number, since it is larger than the sum of its proper divisors (7273791).

9801729 is a wasteful number, since it uses less digits than its factorization.

9801729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9801729 is about 3130.7713107156. The cubic root of 9801729 is about 214.0100804638.

It can be divided in two parts, 9801 and 729, that multiplied together give a square (7144929 = 2673²).

The spelling of 9801729 in words is "nine million, eight hundred one thousand, seven hundred twenty-nine".