809235 has 36 divisors (see below), whose sum is σ = 1636128. Its totient is φ = 368928.

The previous prime is 809231. The next prime is 809239. The reversal of 809235 is 532908.

It is an interprime number because it is at equal distance from previous prime (809231) and next prime (809239).

It is not a de Polignac number, because 809235 - 2² = 809231 is a prime.

It is a super-2 number, since 2×809235² = 1309722570450, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8⁶ + 0 + 2⁴ + 9 + 3¹² + 5⁶ .

809235 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 809199 and 809208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809235.

It is not an unprimeable number, because it can be changed into a prime (809231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2022 + ... + 2388.

It is an arithmetic number, because the mean of its divisors is an integer number (45448).

2⁸⁰⁹²³⁵ is an apocalyptic number.

809235 is an abundant number, since it is smaller than the sum of its proper divisors (826893).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

809235 is a wasteful number, since it uses less digits than its factorization.

809235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 809235 is about 899.5748996054. The cubic root of 809235 is about 93.1876198504.

The spelling of 809235 in words is "eight hundred nine thousand, two hundred thirty-five".