162409 has 9 divisors (see below), whose sum is σ = 181719. Its totient is φ = 145080.

The previous prime is 162391. The next prime is 162413. The reversal of 162409 is 904261.

162409 = T₄₀₂ + T₄₀₃.

The square root of 162409 is 403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 138384 = 155^2 + 372^2 .

It is not a de Polignac number, because 162409 - 2¹⁵ = 129641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162409.

It is not an unprimeable number, because it can be changed into a prime (162419) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5224 + ... + 5254.

It is an arithmetic number, because the mean of its divisors is an integer number (20191).

162409 is a Friedman number, since it can be written as (409*1-6)^2, using all its digits and the basic arithmetic operations.

2¹⁶²⁴⁰⁹ is an apocalyptic number.

162409 is the 403-rd square number.

162409 is the 202-nd centered octagonal number.

It is an amenable number.

162409 is a deficient number, since it is larger than the sum of its proper divisors (19310).

162409 is an equidigital number, since it uses as much as digits as its factorization.

162409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 162409 is about 54.5594559174.

The spelling of 162409 in words is "one hundred sixty-two thousand, four hundred nine".