97829 has 2 divisors, whose sum is σ = 97830. Its totient is φ = 97828.

The previous prime is 97813. The next prime is 97841. The reversal of 97829 is 92879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88804 + 9025 = 298^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 97829 - 2⁴ = 97813 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48914 + 48915.

It is an arithmetic number, because the mean of its divisors is an integer number (48915).

2⁹⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

97829 is a deficient number, since it is larger than the sum of its proper divisors (1).

97829 is an equidigital number, since it uses as much as digits as its factorization.

97829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 35.

The square root of 97829 is about 312.7762778729. The cubic root of 97829 is about 46.0775315056.

Subtracting from 97829 its reverse (92879), we obtain a triangular number (4950 = T₉₉).

The spelling of 97829 in words is "ninety-seven thousand, eight hundred twenty-nine".