854144 has 16 divisors (see below), whose sum is σ = 1701870. Its totient is φ = 427008.

The previous prime is 854141. The next prime is 854149. The reversal of 854144 is 441458.

It can be written as a sum of positive squares in only one way, i.e., 846400 + 7744 = 920^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3209 + ... + 3464.

2⁸⁵⁴¹⁴⁴ is an apocalyptic number.

It is an amenable number.

854144 is a deficient number, since it is larger than the sum of its proper divisors (847726).

854144 is an equidigital number, since it uses as much as digits as its factorization.

854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6675 counting only the distinct ones).

The product of its digits is 2560, while the sum is 26.

The square root of 854144 is about 924.1991127457. The cubic root of 854144 is about 94.8805146013.

Subtracting from 854144 its reverse (441458), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 854144 in words is "eight hundred fifty-four thousand, one hundred forty-four".