854352 has 60 divisors (see below), whose sum is σ = 2538900. Its totient is φ = 267264.

The previous prime is 854351. The next prime is 854353. The reversal of 854352 is 253458.

It is an interprime number because it is at equal distance from previous prime (854351) and next prime (854353).

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 207936 = 804^2 + 456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2274 + ... + 2622.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2⁸⁵⁴³⁵² 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 854352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269450).

854352 is an abundant number, since it is smaller than the sum of its proper divisors (1684548).

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

854352 is a wasteful number, since it uses less digits than its factorization.

854352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 854352 is about 924.3116357593. The cubic root of 854352 is about 94.8882157013. Note that the first 3 decimals are identical.

The spelling of 854352 in words is "eight hundred fifty-four thousand, three hundred fifty-two".