92916 has 36 divisors (see below), whose sum is σ = 245700. Its totient is φ = 29568.

The previous prime is 92899. The next prime is 92921. The reversal of 92916 is 61929.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 60516 = 180^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 92916.

It is a congruent number.

It is an unprimeable number.

92916 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 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2⁹²⁹¹⁶ 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 92916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122850).

92916 is an abundant number, since it is smaller than the sum of its proper divisors (152784).

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

92916 is a wasteful number, since it uses less digits than its factorization.

92916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 123 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 92916 is about 304.8212591011. The cubic root of 92916 is about 45.2929041705.

It can be divided in two parts, 9 and 2916, that multiplied together give a square (26244 = 162²).

The spelling of 92916 in words is "ninety-two thousand, nine hundred sixteen".