97755 has 32 divisors (see below), whose sum is σ = 192000. Its totient is φ = 42336.

The previous prime is 97729. The next prime is 97771. The reversal of 97755 is 55779.

It is not a de Polignac number, because 97755 - 2⁸ = 97499 is a prime.

97755 is a lucky number.

It is a nialpdrome in base 7 and base 10.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 5136 + ... + 5154.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

2⁹⁷⁷⁵⁵ is an apocalyptic number.

97755 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

97755 is a deficient number, since it is larger than the sum of its proper divisors (94245).

97755 is a wasteful number, since it uses less digits than its factorization.

97755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its digits is 11025, while the sum is 33.

The square root of 97755 is about 312.6579600778. The cubic root of 97755 is about 46.0659105567.

It can be divided in two parts, 977 and 55, that multiplied together give a palindrome (53735).

The spelling of 97755 in words is "ninety-seven thousand, seven hundred fifty-five".