810135 has 32 divisors (see below), whose sum is σ = 1529280. Its totient is φ = 405504.

The previous prime is 810109. The next prime is 810137. The reversal of 810135 is 531018.

It is a happy number.

It is not a de Polignac number, because 810135 - 2⁶ = 810071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2119 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (47790).

2⁸¹⁰¹³⁵ is an apocalyptic number.

810135 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

810135 is a deficient number, since it is larger than the sum of its proper divisors (719145).

810135 is a wasteful number, since it uses less digits than its factorization.

810135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 810135 is about 900.0749968753. The cubic root of 810135 is about 93.2221536118. Note that the first 3 decimals are identical.

It can be divided in two parts, 81013 and 5, that added together give a palindrome (81018).

The spelling of 810135 in words is "eight hundred ten thousand, one hundred thirty-five".