3135 has 16 divisors (see below), whose sum is σ = 5760. Its totient is φ = 1440.

The previous prime is 3121. The next prime is 3137. The reversal of 3135 is 5313.

3135 = 23^{2} + 24^{2} + ... + 27^{2}.

It is a happy number.

It is a Cunningham number, because it is equal to 56^{2}-1.

It is not a de Polignac number, because 3135 - 2^{4} = 3119 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a zygodrome in base 2 and base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137) 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, 156 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

3135 is a deficient number, since it is larger than the sum of its proper divisors (2625).

3135 is a wasteful number, since it uses less digits than its factorization.

3135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38.

The product of its digits is 45, while the sum is 12.

The square root of 3135 is about 55.9910707167. The cubic root of 3135 is about 14.6356668474.

Adding to 3135 its reverse (5313), we get a palindrome (8448).

It can be divided in two parts, 31 and 35, that added together give a palindrome (66).

The spelling of 3135 in words is "three thousand, one hundred thirty-five".

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