97841 has 2 divisors, whose sum is σ = 97842. Its totient is φ = 97840.

The previous prime is 97829. The next prime is 97843. The reversal of 97841 is 14879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 10816 = 295^2 + 104^2 .

It is an emirp because it is prime and its reverse (14879) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97841 - 2⁶ = 97777 is a prime.

It is a super-2 number, since 2×97841² = 19145722562, which contains 22 as substring.

Together with 97843, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (97843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48920 + 48921.

It is an arithmetic number, because the mean of its divisors is an integer number (48921).

2⁹⁷⁸⁴¹ is an apocalyptic number.

It is an amenable number.

97841 is a deficient number, since it is larger than the sum of its proper divisors (1).

97841 is an equidigital number, since it uses as much as digits as its factorization.

97841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 29.

The square root of 97841 is about 312.7954603251. The cubic root of 97841 is about 46.0794154315.

The spelling of 97841 in words is "ninety-seven thousand, eight hundred forty-one".