96525 has 48 divisors (see below), whose sum is σ = 208320. Its totient is φ = 43200.

The previous prime is 96517. The next prime is 96527. The reversal of 96525 is 52569.

96525 = 17² + 18² + ... + 66².

96525 is a `hidden beast` number, since 9 + 652 + 5 = 666.

It is not a de Polignac number, because 96525 - 2³ = 96517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7419 + ... + 7431.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2⁹⁶⁵²⁵ is an apocalyptic number.

It is an amenable number.

96525 is an abundant number, since it is smaller than the sum of its proper divisors (111795).

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 (104160).

96525 is a wasteful number, since it uses less digits than its factorization.

96525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 32 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 96525 is about 310.6847276581. The cubic root of 96525 is about 45.8718867530.

Adding to 96525 its product of digits (2700), we get a square (99225 = 315²).

Subtracting from 96525 its reverse (52569), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 965 and 25, that added together give a triangular number (990 = T₄₄).

The spelling of 96525 in words is "ninety-six thousand, five hundred twenty-five".