3825973 has 8 divisors (see below), whose sum is σ = 4096800. Its totient is φ = 3562128.

The previous prime is 3825953. The next prime is 3825979. The reversal of 3825973 is 3795283.

3825973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3825973 - 2²¹ = 1728821 is a prime.

It is a d-powerful number, because it can be written as 3⁵ + 8⁷ + 2¹⁷ + 5⁵ + 9 + 7² + 3¹³ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586 + ... + 2827.

It is an arithmetic number, because the mean of its divisors is an integer number (512100).

Almost surely, 2^3825973 is an apocalyptic number.

It is an amenable number.

3825973 is a deficient number, since it is larger than the sum of its proper divisors (270827).

3825973 is a wasteful number, since it uses less digits than its factorization.

3825973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491.

The product of its digits is 45360, while the sum is 37.

The square root of 3825973 is about 1956.0094580548. The cubic root of 3825973 is about 156.4037999221.

Subtracting from 3825973 its sum of digits (37), we obtain a square (3825936 = 1956²).

The spelling of 3825973 in words is "three million, eight hundred twenty-five thousand, nine hundred seventy-three".