162401 has 8 divisors (see below), whose sum is σ = 176904. Its totient is φ = 148480.

The previous prime is 162391. The next prime is 162413. The reversal of 162401 is 104261.

162401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 160801 = 40^2 + 401^2 .

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

It is a 2-Lehmer number, since φ(162401) divides (162401-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 162401 - 2¹⁰ = 161377 is a prime.

It is a deceptive number, since it divides R₁₆₂₄₀₀.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

It is a Poulet number, since it divides 2¹⁶²⁴⁰⁰-1.

2¹⁶²⁴⁰¹ is an apocalyptic number.

162401 is the 233-rd octagonal number.

It is an amenable number.

162401 is a deficient number, since it is larger than the sum of its proper divisors (14503).

162401 is a wasteful number, since it uses less digits than its factorization.

162401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 162401 is about 402.9900743195. The cubic root of 162401 is about 54.5585600664.

Adding to 162401 its reverse (104261), we get a palindrome (266662).

It can be divided in two parts, 16 and 2401, that multiplied together give a 4-th power (38416 = 14⁴).

The spelling of 162401 in words is "one hundred sixty-two thousand, four hundred one".