406913 has 8 divisors (see below), whose sum is σ = 443688. Its totient is φ = 370944.

The previous prime is 406907. The next prime is 406951. The reversal of 406913 is 319604.

406913 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 37249 + 369664 = 193^2 + 608^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 406913 - 2¹² = 402817 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406913.

It is not an unprimeable number, because it can be changed into a prime (406993) 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, 1331 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (55461).

2⁴⁰⁶⁹¹³ is an apocalyptic number.

It is an amenable number.

406913 is a deficient number, since it is larger than the sum of its proper divisors (36775).

406913 is a wasteful number, since it uses less digits than its factorization.

406913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 406913 is about 637.8973271617. The cubic root of 406913 is about 74.1026697588.

The spelling of 406913 in words is "four hundred six thousand, nine hundred thirteen".