162009 has 12 divisors (see below), whose sum is σ = 239616. Its totient is φ = 105432.

The previous prime is 162007. The next prime is 162011. The reversal of 162009 is 900261.

It is an interprime number because it is at equal distance from previous prime (162007) and next prime (162011).

It is not a de Polignac number, because 162009 - 2¹ = 162007 is a prime.

162009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 161982 and 162000.

It is not an unprimeable number, because it can be changed into a prime (162007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (19968).

2¹⁶²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

162009 is a deficient number, since it is larger than the sum of its proper divisors (77607).

162009 is a wasteful number, since it uses less digits than its factorization.

162009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 162009 is about 402.5034161346. The cubic root of 162009 is about 54.5146272777.

It can be divided in two parts, 16 and 2009, that added together give a square (2025 = 45²).

The spelling of 162009 in words is "one hundred sixty-two thousand, nine".