97357829 has 2 divisors, whose sum is σ = 97357830. Its totient is φ = 97357828.

The previous prime is 97357823. The next prime is 97357831. The reversal of 97357829 is 92875379.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67404100 + 29953729 = 8210^2 + 5473^2 .

It is a cyclic number.

It is not a de Polignac number, because 97357829 - 2⁸ = 97357573 is a prime.

Together with 97357831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97357823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48678914 + 48678915.

It is an arithmetic number, because the mean of its divisors is an integer number (48678915).

Almost surely, 2^97357829 is an apocalyptic number.

It is an amenable number.

97357829 is a deficient number, since it is larger than the sum of its proper divisors (1).

97357829 is an equidigital number, since it uses as much as digits as its factorization.

97357829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 952560, while the sum is 50.

The square root of 97357829 is about 9867.0070943524. The cubic root of 97357829 is about 460.0343846383.

The spelling of 97357829 in words is "ninety-seven million, three hundred fifty-seven thousand, eight hundred twenty-nine".