97758 has 12 divisors (see below), whose sum is σ = 211848. Its totient is φ = 32580.

The previous prime is 97729. The next prime is 97771. The reversal of 97758 is 85779.

It is a plaindrome in base 14 and base 16.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

97758 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 2698 + ... + 2733.

It is an arithmetic number, because the mean of its divisors is an integer number (17654).

2⁹⁷⁷⁵⁸ is an apocalyptic number.

97758 is an abundant number, since it is smaller than the sum of its proper divisors (114090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97758 is a wasteful number, since it uses less digits than its factorization.

97758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5436 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 97758 is about 312.6627576159. The cubic root of 97758 is about 46.0663817903.

It can be divided in two parts, 977 and 58, that added together give a triangular number (1035 = T₄₅).

The spelling of 97758 in words is "ninety-seven thousand, seven hundred fifty-eight".