953316 has 96 divisors (see below), whose sum is σ = 3073280. Its totient is φ = 248832.

The previous prime is 953297. The next prime is 953321. The reversal of 953316 is 613359.

It is a super-3 number, since 3×953316³ = 2599153333955575488, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 953316.

It is an unprimeable number.

953316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 31 ways as a sum of consecutive naturals, for example, 9780 + ... + 9876.

2⁹⁵³³¹⁶ 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 953316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536640).

953316 is an abundant number, since it is smaller than the sum of its proper divisors (2119964).

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

953316 is a wasteful number, since it uses less digits than its factorization.

953316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 953316 is about 976.3790247645. The cubic root of 953316 is about 98.4190028737.

The spelling of 953316 in words is "nine hundred fifty-three thousand, three hundred sixteen".