412713 has 12 divisors (see below), whose sum is σ = 681408. Its totient is φ = 235800.

The previous prime is 412667. The next prime is 412717. The reversal of 412713 is 317214.

It is not a de Polignac number, because 412713 - 2⁸ = 412457 is a prime.

412713 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412713.

It is not an unprimeable number, because it can be changed into a prime (412717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3213 + ... + 3338.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

2⁴¹²⁷¹³ is an apocalyptic number.

It is an amenable number.

412713 is a deficient number, since it is larger than the sum of its proper divisors (268695).

412713 is a wasteful number, since it uses less digits than its factorization.

412713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564 (or 6561 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 412713 is about 642.4274278080. The cubic root of 412713 is about 74.4530881938.

Adding to 412713 its reverse (317214), we get a palindrome (729927).

The spelling of 412713 in words is "four hundred twelve thousand, seven hundred thirteen".