3835125 has 48 divisors (see below), whose sum is σ = 7917312. Its totient is φ = 1749600.

The previous prime is 3835123. The next prime is 3835157. The reversal of 3835125 is 5215383.

It is not a de Polignac number, because 3835125 - 2¹ = 3835123 is a prime.

It is a Curzon number.

3835125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7632 + ... + 8118.

It is an arithmetic number, because the mean of its divisors is an integer number (164944).

Almost surely, 2^3835125 is an apocalyptic number.

3835125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3835125 is an abundant number, since it is smaller than the sum of its proper divisors (4082187).

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

3835125 is a wasteful number, since it uses less digits than its factorization.

3835125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3835125 is about 1958.3475176791. The cubic root of 3835125 is about 156.5284102934.

The spelling of 3835125 in words is "three million, eight hundred thirty-five thousand, one hundred twenty-five".