97849 has 2 divisors, whose sum is σ = 97850. Its totient is φ = 97848.

The previous prime is 97847. The next prime is 97859. The reversal of 97849 is 94879.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 3600 = 307^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 97849 - 2¹ = 97847 is a prime.

Together with 97847, it forms a pair of twin primes.

97849 is a lucky number.

It is a plaindrome in base 5.

It is not a weakly prime, because it can be changed into another prime (97841) 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, 48924 + 48925.

It is an arithmetic number, because the mean of its divisors is an integer number (48925).

2⁹⁷⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

97849 is a deficient number, since it is larger than the sum of its proper divisors (1).

97849 is an equidigital number, since it uses as much as digits as its factorization.

97849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 37.

The square root of 97849 is about 312.8082479731. The cubic root of 97849 is about 46.0806712966.

It can be divided in two parts, 97 and 849, that added together give a triangular number (946 = T₄₃).

The spelling of 97849 in words is "ninety-seven thousand, eight hundred forty-nine".