842292 has 48 divisors (see below), whose sum is σ = 2385600. Its totient is φ = 254880.

The previous prime is 842291. The next prime is 842293. The reversal of 842292 is 292248.

842292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (842291) and next prime (842293).

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

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 842292.

It is not an unprimeable number, because it can be changed into a prime (842291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834 + ... + 1542.

It is an arithmetic number, because the mean of its divisors is an integer number (49700).

2⁸⁴²²⁹² 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 842292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192800).

842292 is an abundant number, since it is smaller than the sum of its proper divisors (1543308).

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

842292 is a wasteful number, since it uses less digits than its factorization.

842292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

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

The square root of 842292 is about 917.7646757203. The cubic root of 842292 is about 94.4396187718.

The spelling of 842292 in words is "eight hundred forty-two thousand, two hundred ninety-two".