96954 has 32 divisors (see below), whose sum is σ = 229824. Its totient is φ = 26880.

The previous prime is 96953. The next prime is 96959. The reversal of 96954 is 45969.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96954.

It is not an unprimeable number, because it can be changed into a prime (96953) 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 15 ways as a sum of consecutive naturals, for example, 802 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁹⁶⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

96954 is an abundant number, since it is smaller than the sum of its proper divisors (132870).

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

96954 is a wasteful number, since it uses less digits than its factorization.

96954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 9720, while the sum is 33.

The square root of 96954 is about 311.3743727412. The cubic root of 96954 is about 45.9397446726.

It can be divided in two parts, 969 and 54, that multiplied together give a triangular number (52326 = T₃₂₃).

The spelling of 96954 in words is "ninety-six thousand, nine hundred fifty-four".