162552 has 32 divisors (see below), whose sum is σ = 438480. Its totient is φ = 49920.

The previous prime is 162529. The next prime is 162553. The reversal of 162552 is 255261.

162552 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162553) by changing a digit.

162552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 52 + ... + 572.

162552 is a Friedman number, since it can be written as 521*52*6, using all its digits and the basic arithmetic operations.

2¹⁶²⁵⁵² is an apocalyptic number.

162552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219240).

162552 is an abundant number, since it is smaller than the sum of its proper divisors (275928).

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

162552 is a wasteful number, since it uses less digits than its factorization.

162552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 162552 is about 403.1773803179. The cubic root of 162552 is about 54.5754642943.

The spelling of 162552 in words is "one hundred sixty-two thousand, five hundred fifty-two".