3783025 has 9 divisors (see below), whose sum is σ = 4703041. Its totient is φ = 3018640.

The previous prime is 3783007. The next prime is 3783041. The reversal of 3783025 is 5203873.

The square root of 3783025 is 1945.

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

It can be written as a sum of positive squares in 4 ways, for example, as 628849 + 3154176 = 793^2 + 1776^2 .

It is not a de Polignac number, because 3783025 - 2⁷ = 3782897 is a prime.

It is a super-2 number, since 2×3783025² = 28622556301250, which contains 22 as substring.

It is a Duffinian number.

3783025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3782984 and 3783002.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 9531 + ... + 9919.

Almost surely, 2^3783025 is an apocalyptic number.

3783025 is the 1945-th square number.

3783025 is the 973-rd centered octagonal number.

It is an amenable number.

3783025 is a deficient number, since it is larger than the sum of its proper divisors (920016).

3783025 is an frugal number, since it uses more digits than its factorization.

3783025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The cubic root of 3783025 is about 155.8163656654.

Adding to 3783025 its reverse (5203873), we get a palindrome (8986898).

It can be divided in two parts, 378 and 3025, that added together give a triangular number (3403 = T₈₂).

The spelling of 3783025 in words is "three million, seven hundred eighty-three thousand, twenty-five".