162180225 has 45 divisors (see below), whose sum is σ = 301479123. Its totient is φ = 86190480.

The previous prime is 162180223. The next prime is 162180233. The reversal of 162180225 is 522081261.

It is a happy number.

The square root of 162180225 is 12735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58384881 + 103795344 = 7641^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 162180225 - 2¹ = 162180223 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (162180223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 572934 + ... + 573216.

Almost surely, 2^162180225 is an apocalyptic number.

162180225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

162180225 is the 12735-th square number.

162180225 is the 6368-th centered octagonal number.

It is an amenable number.

162180225 is a deficient number, since it is larger than the sum of its proper divisors (139298898).

162180225 is an frugal number, since it uses more digits than its factorization.

162180225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The cubic root of 162180225 is about 545.3382575962.

The spelling of 162180225 in words is "one hundred sixty-two million, one hundred eighty thousand, two hundred twenty-five".