97641 has 12 divisors (see below), whose sum is σ = 148720. Its totient is φ = 61560.

The previous prime is 97613. The next prime is 97649. The reversal of 97641 is 14679.

It is not a de Polignac number, because 97641 - 2⁵ = 97609 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97649) 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 in 11 ways as a sum of consecutive naturals, for example, 115 + ... + 456.

2⁹⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

97641 is a deficient number, since it is larger than the sum of its proper divisors (51079).

97641 is a wasteful number, since it uses less digits than its factorization.

97641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 97641 is about 312.4755990473. The cubic root of 97641 is about 46.0479965317.

The spelling of 97641 in words is "ninety-seven thousand, six hundred forty-one".