96075 has 36 divisors (see below), whose sum is σ = 199888. Its totient is φ = 43200.

The previous prime is 96059. The next prime is 96079. The reversal of 96075 is 57069.

It is not a de Polignac number, because 96075 - 2^{4} = 96059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96079) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1545 + ... + 1605.

2^{96075} is an apocalyptic number.

96075 is an abundant number, since it is smaller than the sum of its proper divisors (103813).

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 (99944).

96075 is a wasteful number, since it uses less digits than its factorization.

96075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 96075 is about 309.9596747966. The cubic root of 96075 is about 45.8004907049.

It can be divided in two parts, 960 and 75, that added together give a triangular number (1035 = T_{45}).

The spelling of 96075 in words is "ninety-six thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 61 63 75 105 175 183 225 305 315 427 525 549 915 1281 1525 1575 2135 2745 3843 4575 6405 10675 13725 19215 32025 96075

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