43758225 has 105 divisors (see below), whose sum is σ = 94906283. Its totient is φ = 20003760.

The previous prime is 43758217. The next prime is 43758229. The reversal of 43758225 is 52285734.

The square root of 43758225 is 6615.

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

43758225 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 only one way, i.e., 15752961 + 28005264 = 3969^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (105).

It is not a de Polignac number, because 43758225 - 2³ = 43758217 is a prime.

It is a Duffinian number.

Its product of digits (67200) is a multiple of the sum of its prime divisors (15).

It is a self number, because there is not a number n which added to its sum of digits gives 43758225.

It is not an unprimeable number, because it can be changed into a prime (43758229) 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 104 ways as a sum of consecutive naturals, for example, 6251172 + ... + 6251178.

Almost surely, 2^43758225 is an apocalyptic number.

43758225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

43758225 is the 6615-th square number.

43758225 is the 3308-th centered octagonal number.

It is an amenable number.

43758225 is an abundant number, since it is smaller than the sum of its proper divisors (51148058).

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

43758225 is an frugal number, since it uses more digits than its factorization.

43758225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 15 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The cubic root of 43758225 is about 352.3870167556.

Multiplying 43758225 by its sum of digits (36), we get a square (1575296100 = 39690²).

The spelling of 43758225 in words is "forty-three million, seven hundred fifty-eight thousand, two hundred twenty-five".