3785133 has 16 divisors (see below), whose sum is σ = 5746176. Its totient is φ = 2193840.

The previous prime is 3785083. The next prime is 3785143. The reversal of 3785133 is 3315873.

It is a de Polignac number, because none of the positive numbers 2^k-3785133 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3785133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785143) 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, 1735 + ... + 3252.

It is an arithmetic number, because the mean of its divisors is an integer number (359136).

Almost surely, 2^3785133 is an apocalyptic number.

3785133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3785133 is a deficient number, since it is larger than the sum of its proper divisors (1961043).

3785133 is a wasteful number, since it uses less digits than its factorization.

3785133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024.

The product of its digits is 7560, while the sum is 30.

The square root of 3785133 is about 1945.5418268441. The cubic root of 3785133 is about 155.8453019363.

The spelling of 3785133 in words is "three million, seven hundred eighty-five thousand, one hundred thirty-three".