412013 has 8 divisors (see below), whose sum is σ = 478080. Its totient is φ = 347760.

The previous prime is 412007. The next prime is 412019. The reversal of 412013 is 310214.

It is a happy number.

412013 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (412007) and next prime (412019).

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

It is not a de Polignac number, because 412013 - 2¹² = 407917 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 411985 and 412003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (59760).

2⁴¹²⁰¹³ is an apocalyptic number.

It is an amenable number.

412013 is a deficient number, since it is larger than the sum of its proper divisors (66067).

412013 is an equidigital number, since it uses as much as digits as its factorization.

412013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 412013 is about 641.8823879809. The cubic root of 412013 is about 74.4109712306.

Adding to 412013 its reverse (310214), we get a palindrome (722227).

The spelling of 412013 in words is "four hundred twelve thousand, thirteen".