292992 has 64 divisors (see below), whose sum is σ = 897600. Its totient is φ = 82944.

The previous prime is 292979. The next prime is 292993. The reversal of 292992 is 299292.

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292992.

It is not an unprimeable number, because it can be changed into a prime (292993) by changing a digit.

292992 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, 2634 + ... + 2742.

It is an arithmetic number, because the mean of its divisors is an integer number (14025).

2²⁹²⁹⁹² 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 292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448800).

292992 is an abundant number, since it is smaller than the sum of its proper divisors (604608).

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

292992 is a wasteful number, since it uses less digits than its factorization.

292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 292992 is about 541.2873543692. The cubic root of 292992 is about 66.4179174563.

It can be divided in two parts, 29 and 2992, that multiplied together give a palindrome (86768).

The spelling of 292992 in words is "two hundred ninety-two thousand, nine hundred ninety-two".