854993 has 2 divisors, whose sum is σ = 854994. Its totient is φ = 854992.

The previous prime is 854963. The next prime is 854999. The reversal of 854993 is 399458.

854993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 744769 + 110224 = 863^2 + 332^2 .

It is a cyclic number.

It is not a de Polignac number, because 854993 - 2⁶ = 854929 is a prime.

It is not a weakly prime, because it can be changed into another prime (854999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 427496 + 427497.

It is an arithmetic number, because the mean of its divisors is an integer number (427497).

2⁸⁵⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

854993 is a deficient number, since it is larger than the sum of its proper divisors (1).

854993 is an equidigital number, since it uses as much as digits as its factorization.

854993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 38.

The square root of 854993 is about 924.6583152711. The cubic root of 854993 is about 94.9119405599.

Subtracting from 854993 its reverse (399458), we obtain a triangular number (455535 = T₉₅₄).

The spelling of 854993 in words is "eight hundred fifty-four thousand, nine hundred ninety-three".