162729 has 30 divisors (see below), whose sum is σ = 289674. Its totient is φ = 90720.

The previous prime is 162727. The next prime is 162731. The reversal of 162729 is 927261.

It is an interprime number because it is at equal distance from previous prime (162727) and next prime (162731).

It can be written as a sum of positive squares in only one way, i.e., 99225 + 63504 = 315^2 + 252^2 .

It is not a de Polignac number, because 162729 - 2¹ = 162727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 1 + 6⁵ + 7⁵ + 2⁹ + 2¹⁷ + 9⁴ .

162729 is a modest number, since divided by 729 gives 162 as remainder.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3949 + ... + 3989.

2¹⁶²⁷²⁹ is an apocalyptic number.

It is an amenable number.

162729 is a deficient number, since it is larger than the sum of its proper divisors (126945).

162729 is an equidigital number, since it uses as much as digits as its factorization.

162729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 162729 is about 403.3968269583. The cubic root of 162729 is about 54.5952658617.

The spelling of 162729 in words is "one hundred sixty-two thousand, seven hundred twenty-nine".