96512 has 36 divisors (see below), whose sum is σ = 214620. Its totient is φ = 43008.

The previous prime is 96497. The next prime is 96517. The reversal of 96512 is 21569.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 65536 = 176^2 + 256^2 .

It is a super-2 number, since 2×96512² = 18629132288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96517) by changing a digit.

96512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3314 + ... + 3342.

2⁹⁶⁵¹² 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 96512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107310).

96512 is an abundant number, since it is smaller than the sum of its proper divisors (118108).

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

96512 is a wasteful number, since it uses less digits than its factorization.

96512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 96512 is about 310.6638054232. The cubic root of 96512 is about 45.8698273166.

The spelling of 96512 in words is "ninety-six thousand, five hundred twelve".