97752 has 16 divisors (see below), whose sum is σ = 244440. Its totient is φ = 32576.

The previous prime is 97729. The next prime is 97771. The reversal of 97752 is 25779.

It is a happy number.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

97752 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2013 + ... + 2060.

2⁹⁷⁷⁵² is an apocalyptic number.

It is an amenable number.

97752 is an abundant number, since it is smaller than the sum of its proper divisors (146688).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122220).

97752 is a wasteful number, since it uses less digits than its factorization.

97752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4078 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 97752 is about 312.6531624660. The cubic root of 97752 is about 46.0654393135.

The spelling of 97752 in words is "ninety-seven thousand, seven hundred fifty-two".