7835125 has 16 divisors (see below), whose sum is σ = 10296000. Its totient is φ = 5936400.

The previous prime is 7835119. The next prime is 7835129. The reversal of 7835125 is 5215387.

It is not a de Polignac number, because 7835125 - 2¹⁵ = 7802357 is a prime.

It is a super-2 number, since 2×7835125² = 122778367531250, which contains 22 as substring.

7835125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7835129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 4024.

It is an arithmetic number, because the mean of its divisors is an integer number (643500).

Almost surely, 2^7835125 is an apocalyptic number.

It is an amenable number.

7835125 is a deficient number, since it is larger than the sum of its proper divisors (2460875).

7835125 is a wasteful number, since it uses less digits than its factorization.

7835125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3323 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 7835125 is about 2799.1293289164. The cubic root of 7835125 is about 198.6164932804.

The spelling of 7835125 in words is "seven million, eight hundred thirty-five thousand, one hundred twenty-five".