4215 has 8 divisors (see below), whose sum is σ = 6768. Its totient is φ = 2240.

The previous prime is 4211. The next prime is 4217. The reversal of 4215 is 5124.

4215 = T₂₆ + T₂₇ + ... + T₃₄.

4215 = 27² + 28² + ... + 31².

4215 is nontrivially palindromic in base 14.

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

It is not a de Polignac number, because 4215 - 2² = 4211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4215.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4215.

It is not an unprimeable number, because it can be changed into a prime (4211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (846).

4215 is a deficient number, since it is larger than the sum of its proper divisors (2553).

4215 is a wasteful number, since it uses less digits than its factorization.

4215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its digits is 40, while the sum is 12.

The square root of 4215 is about 64.9230313525. The cubic root of 4215 is about 16.1534711233.

Adding to 4215 its reverse (5124), we get a palindrome (9339).

Subtracting 4215 from its reverse (5124), we obtain a palindrome (909).

It can be divided in two parts, 42 and 15, that multiplied together give a triangular number (630 = T₃₅).

The spelling of 4215 in words is "four thousand, two hundred fifteen".