97911 has 24 divisors (see below), whose sum is σ = 164736. Its totient is φ = 55440.

The previous prime is 97883. The next prime is 97919. The reversal of 97911 is 11979.

It is not a de Polignac number, because 97911 - 2⁵ = 97879 is a prime.

97911 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256 + ... + 2298.

It is an arithmetic number, because the mean of its divisors is an integer number (6864).

2⁹⁷⁹¹¹ is an apocalyptic number.

97911 is a deficient number, since it is larger than the sum of its proper divisors (66825).

97911 is a wasteful number, since it uses less digits than its factorization.

97911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 80 counting only the distinct ones).

The product of its digits is 567, while the sum is 27.

The square root of 97911 is about 312.9073345257. The cubic root of 97911 is about 46.0904019305.

Subtracting from 97911 its product of digits (567), we obtain a square (97344 = 312²).

It can be divided in two parts, 979 and 11, that added together give a triangular number (990 = T₄₄).

The spelling of 97911 in words is "ninety-seven thousand, nine hundred eleven".