97881 has 16 divisors (see below), whose sum is σ = 153600. Its totient is φ = 54288.

The previous prime is 97879. The next prime is 97883. The reversal of 97881 is 18879.

97881 = 8² + 9² + ... + 66².

It is an interprime number because it is at equal distance from previous prime (97879) and next prime (97883).

It is not a de Polignac number, because 97881 - 2¹ = 97879 is a prime.

It is a super-2 number, since 2×97881² = 19161380322, which contains 22 as substring.

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 97881.

It is not an unprimeable number, because it can be changed into a prime (97883) 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 15 ways as a sum of consecutive naturals, for example, 1200 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2⁹⁷⁸⁸¹ is an apocalyptic number.

It is an amenable number.

97881 is a deficient number, since it is larger than the sum of its proper divisors (55719).

97881 is a wasteful number, since it uses less digits than its factorization.

97881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its digits is 4032, while the sum is 33.

The square root of 97881 is about 312.8593933383. The cubic root of 97881 is about 46.0856940724.

The spelling of 97881 in words is "ninety-seven thousand, eight hundred eighty-one".