833742 has 48 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 219456.

The previous prime is 833737. The next prime is 833747. The reversal of 833742 is 247338.

It is an interprime number because it is at equal distance from previous prime (833737) and next prime (833747).

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 833742.

It is not an unprimeable number, because it can be changed into a prime (833747) by changing a digit.

833742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (46410).

2⁸³³⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

833742 is an abundant number, since it is smaller than the sum of its proper divisors (1393938).

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

833742 is a wasteful number, since it uses less digits than its factorization.

833742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 534 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 833742 is about 913.0947376915. The cubic root of 833742 is about 94.1189831765.

The spelling of 833742 in words is "eight hundred thirty-three thousand, seven hundred forty-two".