96617952 has 72 divisors (see below), whose sum is σ = 282214296. Its totient is φ = 31332096.

The previous prime is 96617951. The next prime is 96617959. The reversal of 96617952 is 25971669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 96617898 and 96617907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96617951) 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 11 ways as a sum of consecutive naturals, for example, 6123 + ... + 15189.

It is an arithmetic number, because the mean of its divisors is an integer number (3919643).

Almost surely, 2^96617952 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 96617952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141107148).

96617952 is an abundant number, since it is smaller than the sum of its proper divisors (185596344).

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

96617952 is a wasteful number, since it uses less digits than its factorization.

96617952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9109 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 96617952 is about 9829.4431174914. The cubic root of 96617952 is about 458.8660665517.

The spelling of 96617952 in words is "ninety-six million, six hundred seventeen thousand, nine hundred fifty-two".