96948 has 18 divisors (see below), whose sum is σ = 245154. Its totient is φ = 32304.

The previous prime is 96931. The next prime is 96953. The reversal of 96948 is 84969.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 17424 = 282^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2693 = 96948 / (9 + 6 + 9 + 4 + 8).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96948.

It is an unprimeable number.

96948 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 5 ways as a sum of consecutive naturals, for example, 1311 + ... + 1382.

2⁹⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

96948 is an abundant number, since it is smaller than the sum of its proper divisors (148206).

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

96948 is a wasteful number, since it uses less digits than its factorization.

96948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2698 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 96948 is about 311.3647378879. The cubic root of 96948 is about 45.9387969924.

The spelling of 96948 in words is "ninety-six thousand, nine hundred forty-eight".