3835965 has 48 divisors (see below), whose sum is σ = 7584192. Its totient is φ = 1645056.

The previous prime is 3835957. The next prime is 3835969. The reversal of 3835965 is 5695383.

3835965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3835965 - 2³ = 3835957 is a prime.

It is a d-powerful number, because it can be written as 3² + 8⁷ + 3¹⁰ + 5 + 9 + 6⁸ + 5³ .

3835965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835969) 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 47 ways as a sum of consecutive naturals, for example, 12342 + ... + 12648.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

Almost surely, 2^3835965 is an apocalyptic number.

3835965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3835965 is a deficient number, since it is larger than the sum of its proper divisors (3748227).

3835965 is a wasteful number, since it uses less digits than its factorization.

3835965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 3835965 is about 1958.5619724686. The cubic root of 3835965 is about 156.5398374973.

The spelling of 3835965 in words is "three million, eight hundred thirty-five thousand, nine hundred sixty-five".