162809 has 8 divisors (see below), whose sum is σ = 176328. Its totient is φ = 149760.

The previous prime is 162791. The next prime is 162821. The reversal of 162809 is 908261.

162809 = 52² + 53² + ... + 85².

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 160000 = 53^2 + 400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 162809 - 2⁸ = 162553 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162809.

It is not an unprimeable number, because it can be changed into a prime (162829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (22041).

2¹⁶²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

162809 is a deficient number, since it is larger than the sum of its proper divisors (13519).

162809 is a wasteful number, since it uses less digits than its factorization.

162809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 162809 is about 403.4959727184. The cubic root of 162809 is about 54.6042110113.

It can be divided in two parts, 16 and 2809, that multiplied together give a palindrome (44944).

The spelling of 162809 in words is "one hundred sixty-two thousand, eight hundred nine".