20385225 has 81 divisors (see below), whose sum is σ = 43484103. Its totient is φ = 9102240.

The previous prime is 20385223. The next prime is 20385247. The reversal of 20385225 is 52258302.

The square root of 20385225 is 4515.

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., 7338681 + 13046544 = 2709^2 + 3612^2 .

It is not a de Polignac number, because 20385225 - 2¹ = 20385223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20385223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 474054 + ... + 474096.

Almost surely, 2^20385225 is an apocalyptic number.

20385225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20385225 is the 4515-th square number.

20385225 is the 2258-th centered octagonal number.

It is an amenable number.

20385225 is an abundant number, since it is smaller than the sum of its proper divisors (23098878).

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

20385225 is a wasteful number, since it uses less digits than its factorization.

20385225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 20385225 is about 273.1734597828.

The spelling of 20385225 in words is "twenty million, three hundred eighty-five thousand, two hundred twenty-five".