3415 has 4 divisors (see below), whose sum is σ = 4104. Its totient is φ = 2728.

The previous prime is 3413. The next prime is 3433. The reversal of 3415 is 5143.

3415 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5143 = 37 ⋅139.

It is a cyclic number.

It is not a de Polignac number, because 3415 - 2¹ = 3413 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 3395 and 3404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 337 + ... + 346.

It is an arithmetic number, because the mean of its divisors is an integer number (1026).

3415 is a deficient number, since it is larger than the sum of its proper divisors (689).

3415 is an equidigital number, since it uses as much as digits as its factorization.

3415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its digits is 60, while the sum is 13.

The square root of 3415 is about 58.4380013347. The cubic root of 3415 is about 15.0590266780.

Adding to 3415 its reverse (5143), we get a palindrome (8558).

Subtracting 3415 from its reverse (5143), we obtain a cube (1728 = 12³).

It can be divided in two parts, 34 and 15, that added together give a square (49 = 7²).

The spelling of 3415 in words is "three thousand, four hundred fifteen".