97729 has 2 divisors, whose sum is σ = 97730. Its totient is φ = 97728.

The previous prime is 97711. The next prime is 97771. The reversal of 97729 is 92779.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 34225 = 252^2 + 185^2 .

It is an emirp because it is prime and its reverse (92779) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-97729 is a prime.

It is an Ulam number.

97729 is a lucky number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 97694 and 97703.

It is not a weakly prime, because it can be changed into another prime (97789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48864 + 48865.

It is an arithmetic number, because the mean of its divisors is an integer number (48865).

2⁹⁷⁷²⁹ is an apocalyptic number.

It is an amenable number.

97729 is a deficient number, since it is larger than the sum of its proper divisors (1).

97729 is an equidigital number, since it uses as much as digits as its factorization.

97729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7938, while the sum is 34.

The square root of 97729 is about 312.6163783297. The cubic root of 97729 is about 46.0618261284.

Subtracting from 97729 its reverse (92779), we obtain a triangular number (4950 = T₉₉).

The spelling of 97729 in words is "ninety-seven thousand, seven hundred twenty-nine".