97756752 has 80 divisors (see below), whose sum is σ = 259536960. Its totient is φ = 31696896.

The previous prime is 97756679. The next prime is 97756753. The reversal of 97756752 is 25765779.

97756752 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97756753) 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 15 ways as a sum of consecutive naturals, for example, 363274 + ... + 363542.

It is an arithmetic number, because the mean of its divisors is an integer number (3244212).

Almost surely, 2^97756752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97756752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

97756752 is an abundant number, since it is smaller than the sum of its proper divisors (161780208).

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

97756752 is a wasteful number, since it uses less digits than its factorization.

97756752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its digits is 926100, while the sum is 48.

The square root of 97756752 is about 9887.2014240633. The cubic root of 97756752 is about 460.6618575828.

The spelling of 97756752 in words is "ninety-seven million, seven hundred fifty-six thousand, seven hundred fifty-two".