96738 has 16 divisors (see below), whose sum is σ = 202176. Its totient is φ = 30800.

The previous prime is 96737. The next prime is 96739. The reversal of 96738 is 83769.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96737) and next prime (96739).

It is a junction number, because it is equal to n+sod(n) for n = 96699 and 96708.

It is not an unprimeable number, because it can be changed into a prime (96731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2⁹⁶⁷³⁸ is an apocalyptic number.

96738 is an abundant number, since it is smaller than the sum of its proper divisors (105438).

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 (101088).

96738 is a wasteful number, since it uses less digits than its factorization.

96738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729.

The product of its digits is 9072, while the sum is 33.

The square root of 96738 is about 311.0273299889. The cubic root of 96738 is about 45.9056035232.

The spelling of 96738 in words is "ninety-six thousand, seven hundred thirty-eight".