162045 has 24 divisors (see below), whose sum is σ = 303576. Its totient is φ = 79488.

The previous prime is 162017. The next prime is 162053. The reversal of 162045 is 540261.

It is a happy number.

162045 is a `hidden beast` number, since 1 + 620 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441 + 161604 = 21^2 + 402^2 .

It is not a de Polignac number, because 162045 - 2¹⁴ = 145661 is a prime.

162045 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (12649).

162045 is a Friedman number, since it can be written as 45*(60^2+1), using all its digits and the basic arithmetic operations.

2¹⁶²⁰⁴⁵ is an apocalyptic number.

162045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

162045 is a deficient number, since it is larger than the sum of its proper divisors (141531).

162045 is a wasteful number, since it uses less digits than its factorization.

162045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 162045 is about 402.5481337679. The cubic root of 162045 is about 54.5186648749.

It can be divided in two parts, 1620 and 45, that multiplied together give a square (72900 = 270²).

The spelling of 162045 in words is "one hundred sixty-two thousand, forty-five".