3835825 has 24 divisors (see below), whose sum is σ = 5678208. Its totient is φ = 2513280.

The previous prime is 3835771. The next prime is 3835831. The reversal of 3835825 is 5285383.

3835825 = T₅₆₆ + T₅₆₇ + ... + T₅₈₈.

It is not a de Polignac number, because 3835825 - 2⁷ = 3835697 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3549 + ... + 4501.

It is an arithmetic number, because the mean of its divisors is an integer number (236592).

Almost surely, 2^3835825 is an apocalyptic number.

3835825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3835825 is a deficient number, since it is larger than the sum of its proper divisors (1842383).

3835825 is a wasteful number, since it uses less digits than its factorization.

3835825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 3835825 is about 1958.5262316344. The cubic root of 3835825 is about 156.5379330791.

It can be divided in two parts, 38358 and 25, that added together give a palindrome (38383).

The spelling of 3835825 in words is "three million, eight hundred thirty-five thousand, eight hundred twenty-five".