842754 has 24 divisors (see below), whose sum is σ = 1855152. Its totient is φ = 253120.

The previous prime is 842747. The next prime is 842759. The reversal of 842754 is 457248.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842754.

It is not an unprimeable number, because it can be changed into a prime (842759) by changing a digit.

842754 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, 7402 + ... + 7514.

It is an arithmetic number, because the mean of its divisors is an integer number (77298).

2⁸⁴²⁷⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927576).

842754 is an abundant number, since it is smaller than the sum of its proper divisors (1012398).

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

842754 is a wasteful number, since it uses less digits than its factorization.

842754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 129 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 842754 is about 918.0163397239. The cubic root of 842754 is about 94.4568824321.

Subtracting from 842754 its sum of digits (30), we obtain a square (842724 = 918²).

It can be divided in two parts, 842 and 754, that added together give a triangular number (1596 = T₅₆).

The spelling of 842754 in words is "eight hundred forty-two thousand, seven hundred fifty-four".