162738 has 12 divisors (see below), whose sum is σ = 352638. Its totient is φ = 54240.

The previous prime is 162731. The next prime is 162739. The reversal of 162738 is 837261.

162738 is a `hidden beast` number, since 1 + 627 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 74529 = 297^2 + 273^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162738.

It is not an unprimeable number, because it can be changed into a prime (162731) 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 5 ways as a sum of consecutive naturals, for example, 4503 + ... + 4538.

2¹⁶²⁷³⁸ is an apocalyptic number.

162738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

162738 is an abundant number, since it is smaller than the sum of its proper divisors (189900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162738 is a wasteful number, since it uses less digits than its factorization.

162738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9046 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 162738 is about 403.4079820727. The cubic root of 162738 is about 54.5962723374.

Adding to 162738 its reverse (837261), we get a palindrome (999999).

It can be divided in two parts, 162 and 738, that added together give a square (900 = 30²).

The spelling of 162738 in words is "one hundred sixty-two thousand, seven hundred thirty-eight".