813285 has 48 divisors (see below), whose sum is σ = 1617408. Its totient is φ = 374400.

The previous prime is 813283. The next prime is 813287. The reversal of 813285 is 582318.

It is a happy number.

813285 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813283) and next prime (813287).

It is not a de Polignac number, because 813285 - 2¹ = 813283 is a prime.

It is a super-2 number, since 2×813285² = 1322864982450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15319 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (33696).

2⁸¹³²⁸⁵ is an apocalyptic number.

It is an amenable number.

813285 is a deficient number, since it is larger than the sum of its proper divisors (804123).

813285 is a wasteful number, since it uses less digits than its factorization.

813285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 813285 is about 901.8231533954. The cubic root of 813285 is about 93.3428207476.

It can be divided in two parts, 81 and 3285, that multiplied together give a triangular number (266085 = T₇₂₉).

The spelling of 813285 in words is "eight hundred thirteen thousand, two hundred eighty-five".