842753 has 4 divisors (see below), whose sum is σ = 858708. Its totient is φ = 826800.

The previous prime is 842747. The next prime is 842759. The reversal of 842753 is 357248.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (842747) and next prime (842759).

It can be written as a sum of positive squares in 2 ways, for example, as 760384 + 82369 = 872^2 + 287^2 .

It is not a de Polignac number, because 842753 - 2⁸ = 842497 is a prime.

It is a d-powerful number, because it can be written as 8³ + 4⁷ + 7⁷ + 2 + 5³ + 3⁷ .

It is a Duffinian number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7898 + ... + 8003.

It is an arithmetic number, because the mean of its divisors is an integer number (214677).

It is a Proth number, since it is equal to 823 ⋅ 2¹⁰ + 1 and 823 < 2¹⁰.

2⁸⁴²⁷⁵³ is an apocalyptic number.

It is an amenable number.

842753 is a deficient number, since it is larger than the sum of its proper divisors (15955).

842753 is a wasteful number, since it uses less digits than its factorization.

842753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15954.

The product of its digits is 6720, while the sum is 29.

The square root of 842753 is about 918.0157950711. The cubic root of 842753 is about 94.4568450717.

Subtracting from 842753 its sum of digits (29), we obtain a square (842724 = 918²).

The spelling of 842753 in words is "eight hundred forty-two thousand, seven hundred fifty-three".