97545528 has 48 divisors (see below), whose sum is σ = 266928480. Its totient is φ = 32177664.

The previous prime is 97545523. The next prime is 97545529. The reversal of 97545528 is 82554579.

97545528 is a `hidden beast` number, since 97 + 5 + 4 + 552 + 8 = 666.

97545528 is a nontrivial binomial coefficient, being equal to C(13968, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97545521) 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 11 ways as a sum of consecutive naturals, for example, 1 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 2^97545528 is an apocalyptic number.

97545528 is the 13967-th triangular number and also the 6984-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97545528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133464240).

97545528 is an abundant number, since it is smaller than the sum of its proper divisors (169382952).

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

97545528 is a wasteful number, since it uses less digits than its factorization.

97545528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14069 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 97545528 is about 9876.5139598950. The cubic root of 97545528 is about 460.3298327574.

The spelling of 97545528 in words is "ninety-seven million, five hundred forty-five thousand, five hundred twenty-eight".