5415 has 12 divisors (see below), whose sum is σ = 9144. Its totient is φ = 2736.

The previous prime is 5413. The next prime is 5417. The reversal of 5415 is 5145.

It is an interprime number because it is at equal distance from previous prime (5413) and next prime (5417).

It is not a de Polignac number, because 5415 - 2¹ = 5413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 5394 and 5403.

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 5415.

It is not an unprimeable number, because it can be changed into a prime (5413) 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 11 ways as a sum of consecutive naturals, for example, 276 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (762).

2⁵⁴¹⁵ is an apocalyptic number.

5415 is a deficient number, since it is larger than the sum of its proper divisors (3729).

5415 is a wasteful number, since it uses less digits than its factorization.

5415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 27 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 5415 is about 73.5866835779. The cubic root of 5415 is about 17.5603359542.

Multiplying 5415 by its sum of digits (15), we get a square (81225 = 285²).

5415 divided by its sum of digits (15) gives a square (361 = 19²).

The spelling of 5415 in words is "five thousand, four hundred fifteen".