96972 has 12 divisors (see below), whose sum is σ = 226296. Its totient is φ = 32320.

The previous prime is 96959. The next prime is 96973. The reversal of 96972 is 27969.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (96973) by changing a digit.

96972 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, 4029 + ... + 4052.

It is an arithmetic number, because the mean of its divisors is an integer number (18858).

2⁹⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

96972 is an abundant number, since it is smaller than the sum of its proper divisors (129324).

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 (113148).

96972 is a wasteful number, since it uses less digits than its factorization.

96972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 8086 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 96972 is about 311.4032755126. The cubic root of 96972 is about 45.9425874786.

The spelling of 96972 in words is "ninety-six thousand, nine hundred seventy-two".