162005121 has 24 divisors (see below), whose sum is σ = 248347944. Its totient is φ = 101414400.

The previous prime is 162005071. The next prime is 162005143. The reversal of 162005121 is 121500261.

It can be written as a sum of positive squares in 4 ways, for example, as 435600 + 161569521 = 660^2 + 12711^2 .

It is not a de Polignac number, because 162005121 - 2⁶ = 162005057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 162005094 and 162005103.

It is not an unprimeable number, because it can be changed into a prime (162000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84271 + ... + 86171.

It is an arithmetic number, because the mean of its divisors is an integer number (10347831).

Almost surely, 2^162005121 is an apocalyptic number.

It is an amenable number.

162005121 is a deficient number, since it is larger than the sum of its proper divisors (86342823).

162005121 is a wasteful number, since it uses less digits than its factorization.

162005121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 162005121 is about 12728.1232316473. The cubic root of 162005121 is about 545.1419219092.

Adding to 162005121 its reverse (121500261), we get a palindrome (283505382).

It can be divided in two parts, 16200 and 5121, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 162005121 in words is "one hundred sixty-two million, five thousand, one hundred twenty-one".