242892 has 48 divisors (see below), whose sum is σ = 682080. Its totient is φ = 74304.

The previous prime is 242887. The next prime is 242911. The reversal of 242892 is 298242.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242892.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1318 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (14210).

2²⁴²⁸⁹² is an apocalyptic number.

242892 is the 312-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341040).

242892 is an abundant number, since it is smaller than the sum of its proper divisors (439188).

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

242892 is a wasteful number, since it uses less digits than its factorization.

242892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 242892 is about 492.8407450688. The cubic root of 242892 is about 62.3932685046.

It can be divided in two parts, 24 and 2892, that added together give a square (2916 = 54²).

The spelling of 242892 in words is "two hundred forty-two thousand, eight hundred ninety-two".