407013 has 4 divisors (see below), whose sum is σ = 542688. Its totient is φ = 271340.

The previous prime is 406993. The next prime is 407023. The reversal of 407013 is 310704.

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 a cyclic number.

It is not a de Polignac number, because 407013 - 2⁵ = 406981 is a prime.

It is a D-number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 406983 and 407001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407023) 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, 67833 + ... + 67838.

It is an arithmetic number, because the mean of its divisors is an integer number (135672).

2⁴⁰⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

407013 is a deficient number, since it is larger than the sum of its proper divisors (135675).

407013 is a wasteful number, since it uses less digits than its factorization.

407013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135674.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 407013 is about 637.9757048666. The cubic root of 407013 is about 74.1087395739.

Adding to 407013 its reverse (310704), we get a palindrome (717717).

It can be divided in two parts, 40701 and 3, that added together give a palindrome (40704).

The spelling of 407013 in words is "four hundred seven thousand, thirteen".