3835 has 8 divisors (see below), whose sum is σ = 5040. Its totient is φ = 2784.

The previous prime is 3833. The next prime is 3847. The reversal of 3835 is 5383.

3835 is nontrivially palindromic in base 4.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3835 - 2¹ = 3833 is a prime.

3835 is an undulating number in base 8.

It is a plaindrome in base 12 and base 14.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 94.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2³⁸³⁵ is an apocalyptic number.

3835 is a deficient number, since it is larger than the sum of its proper divisors (1205).

3835 is a wasteful number, since it uses less digits than its factorization.

3835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its digits is 360, while the sum is 19.

The square root of 3835 is about 61.9273768216. The cubic root of 3835 is about 15.6526709674.

It can be divided in two parts, 3 and 835, that added together give a palindrome (838).

The spelling of 3835 in words is "three thousand, eight hundred thirty-five".