97581 has 8 divisors (see below), whose sum is σ = 141984. Its totient is φ = 59120.

The previous prime is 97579. The next prime is 97583. The reversal of 97581 is 18579.

97581 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (97579) and next prime (97583).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97581 - 2¹ = 97579 is a prime.

It is a super-2 number, since 2×97581² = 19044103122, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97581.

It is not an unprimeable number, because it can be changed into a prime (97583) 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 7 ways as a sum of consecutive naturals, for example, 1446 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (17748).

2⁹⁷⁵⁸¹ is an apocalyptic number.

It is an amenable number.

97581 is a deficient number, since it is larger than the sum of its proper divisors (44403).

97581 is a wasteful number, since it uses less digits than its factorization.

97581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971.

The product of its digits is 2520, while the sum is 30.

The square root of 97581 is about 312.3795767972. The cubic root of 97581 is about 46.0385624965.

The spelling of 97581 in words is "ninety-seven thousand, five hundred eighty-one".