162945225 has 81 divisors (see below), whose sum is σ = 313562613. Its totient is φ = 80879040.

The previous prime is 162945217. The next prime is 162945227. The reversal of 162945225 is 522549261.

The square root of 162945225 is 12765.

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

162945225 is a `hidden beast` number, since 1 + 629 + 4 + 5 + 2 + 25 = 666.

162945225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15468489 + 147476736 = 3933^2 + 12144^2 .

It is not a de Polignac number, because 162945225 - 2³ = 162945217 is a prime.

It is a super-2 number, since 2×162945225² = 53102292700601250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 162945225.

It is not an unprimeable number, because it can be changed into a prime (162945227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4403907 + ... + 4403943.

Almost surely, 2^162945225 is an apocalyptic number.

162945225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

162945225 is the 12765-th square number.

162945225 is the 6383-rd centered octagonal number.

It is an amenable number.

162945225 is a deficient number, since it is larger than the sum of its proper divisors (150617388).

162945225 is a wasteful number, since it uses less digits than its factorization.

162945225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 68 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 162945225 is about 546.1943618309.

Multiplying 162945225 by its sum of digits (36), we get a square (5866028100 = 76590²).

The spelling of 162945225 in words is "one hundred sixty-two million, nine hundred forty-five thousand, two hundred twenty-five".