415713 has 4 divisors (see below), whose sum is σ = 554288. Its totient is φ = 277140.

The previous prime is 415697. The next prime is 415717. The reversal of 415713 is 317514.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 415713 - 2⁴ = 415697 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 415713.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415713.

It is not an unprimeable number, because it can be changed into a prime (415717) 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 3 ways as a sum of consecutive naturals, for example, 69283 + ... + 69288.

It is an arithmetic number, because the mean of its divisors is an integer number (138572).

2⁴¹⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

415713 is a deficient number, since it is larger than the sum of its proper divisors (138575).

415713 is a wasteful number, since it uses less digits than its factorization.

415713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138574.

The product of its digits is 420, while the sum is 21.

The square root of 415713 is about 644.7580941718. The cubic root of 415713 is about 74.6330520282.

It can be divided in two parts, 415 and 713, that added together give a triangular number (1128 = T₄₇).

The spelling of 415713 in words is "four hundred fifteen thousand, seven hundred thirteen".