8415 has 24 divisors (see below), whose sum is σ = 16848. Its totient is φ = 3840.

The previous prime is 8389. The next prime is 8419. The reversal of 8415 is 5148.

8415 = 8² + 9² + ... + 29².

8415 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

8415 is an admirable number.

It is not a de Polignac number, because 8415 - 2⁷ = 8287 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

8415 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (702).

2⁸⁴¹⁵ is an apocalyptic number.

8415 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8415 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424).

8415 is a wasteful number, since it uses less digits than its factorization.

8415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 36 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 8415 is about 91.7333091085. The cubic root of 8415 is about 20.3400198977.

It can be divided in two parts, 84 and 15, that added together give a palindrome (99).

The spelling of 8415 in words is "eight thousand, four hundred fifteen".