97649 has 2 divisors, whose sum is σ = 97650. Its totient is φ = 97648.

The previous prime is 97613. The next prime is 97651. The reversal of 97649 is 94679.

It is a happy number.

97649 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 4624 = 305^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 97649 - 2¹² = 93553 is a prime.

Together with 97651, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (97609) 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, 48824 + 48825.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2⁹⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

97649 is a deficient number, since it is larger than the sum of its proper divisors (1).

97649 is an equidigital number, since it uses as much as digits as its factorization.

97649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The square root of 97649 is about 312.4883997847. The cubic root of 97649 is about 46.0492541111.

The spelling of 97649 in words is "ninety-seven thousand, six hundred forty-nine".