917696 has 28 divisors (see below), whose sum is σ = 1962912. Its totient is φ = 423168.

The previous prime is 917689. The next prime is 917713. The reversal of 917696 is 696719.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 917696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (70104).

2⁹¹⁷⁶⁹⁶ 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 917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981456).

917696 is an abundant number, since it is smaller than the sum of its proper divisors (1045216).

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

917696 is a wasteful number, since it uses less digits than its factorization.

917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its digits is 20412, while the sum is 38.

The square root of 917696 is about 957.9645087371. The cubic root of 917696 is about 97.1776247277.

It can be divided in two parts, 91 and 7696, that multiplied together give a triangular number (700336 = T₁₁₈₃).

The spelling of 917696 in words is "nine hundred seventeen thousand, six hundred ninety-six".