292116 has 24 divisors (see below), whose sum is σ = 743904. Its totient is φ = 88480.

The previous prime is 292093. The next prime is 292133. The reversal of 292116 is 611292.

It is a junction number, because it is equal to n+sod(n) for n = 292092 and 292101.

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 292116.

It is an unprimeable number.

292116 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 7 ways as a sum of consecutive naturals, for example, 975 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2²⁹²¹¹⁶ is an apocalyptic number.

It is an amenable number.

292116 is an abundant number, since it is smaller than the sum of its proper divisors (451788).

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

292116 is a wasteful number, since it uses less digits than its factorization.

292116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2229 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 292116 is about 540.4775666020. The cubic root of 292116 is about 66.3516583351.

It can be divided in two parts, 29 and 2116, that added together give a triangular number (2145 = T₆₅).

The spelling of 292116 in words is "two hundred ninety-two thousand, one hundred sixteen".