853813 has 2 divisors, whose sum is σ = 853814. Its totient is φ = 853812.

The previous prime is 853807. The next prime is 853819. The reversal of 853813 is 318358.

853813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (853807) and next prime (853819).

It can be written as a sum of positive squares in only one way, i.e., 736164 + 117649 = 858^2 + 343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-853813 is a prime.

853813 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (853819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426906 + 426907.

It is an arithmetic number, because the mean of its divisors is an integer number (426907).

2⁸⁵³⁸¹³ is an apocalyptic number.

It is an amenable number.

853813 is a deficient number, since it is larger than the sum of its proper divisors (1).

853813 is an equidigital number, since it uses as much as digits as its factorization.

853813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2880, while the sum is 28.

The square root of 853813 is about 924.0200214281. The cubic root of 853813 is about 94.8682569070.

The spelling of 853813 in words is "eight hundred fifty-three thousand, eight hundred thirteen".