4185135 has 32 divisors (see below), whose sum is σ = 7704000. Its totient is φ = 2153088.

The previous prime is 4185133. The next prime is 4185143. The reversal of 4185135 is 5315814.

It is not a de Polignac number, because 4185135 - 2¹ = 4185133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4185099 and 4185108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3381 + ... + 4449.

It is an arithmetic number, because the mean of its divisors is an integer number (240750).

Almost surely, 2^4185135 is an apocalyptic number.

4185135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4185135 is a deficient number, since it is larger than the sum of its proper divisors (3518865).

4185135 is a wasteful number, since it uses less digits than its factorization.

4185135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 4185135 is about 2045.7602498827. The cubic root of 4185135 is about 161.1522934314.

The spelling of 4185135 in words is "four million, one hundred eighty-five thousand, one hundred thirty-five".