97536 has 36 divisors (see below), whose sum is σ = 261632. Its totient is φ = 32256.

The previous prime is 97523. The next prime is 97547. The reversal of 97536 is 63579.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

97536 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 705 + ... + 831.

2⁹⁷⁵³⁶ is an apocalyptic number.

97536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130816).

97536 is an abundant number, since it is smaller than the sum of its proper divisors (164096).

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

97536 is a wasteful number, since it uses less digits than its factorization.

97536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 97536 is about 312.3075407351. The cubic root of 97536 is about 46.0314844319.

The spelling of 97536 in words is "ninety-seven thousand, five hundred thirty-six".