56415 has 8 divisors (see below), whose sum is σ = 90288. Its totient is φ = 30080.

The previous prime is 56401. The next prime is 56417. The reversal of 56415 is 51465.

Added to its reverse (51465) it gives a triangular number (107880 = T₄₆₄).

It is a happy number.

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

It is not a de Polignac number, because 56415 - 2⁵ = 56383 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56391 and 56400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (11286).

2⁵⁶⁴¹⁵ is an apocalyptic number.

56415 is a deficient number, since it is larger than the sum of its proper divisors (33873).

56415 is a wasteful number, since it uses less digits than its factorization.

56415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769.

The product of its digits is 600, while the sum is 21.

The square root of 56415 is about 237.5184203383. The cubic root of 56415 is about 38.3528990645.

Adding to 56415 its reverse (51465), we get a triangular number (107880 = T₄₆₄).

Subtracting from 56415 its reverse (51465), we obtain a triangular number (4950 = T₉₉).

The spelling of 56415 in words is "fifty-six thousand, four hundred fifteen".