405213 has 8 divisors (see below), whose sum is σ = 568800. Its totient is φ = 255888.

The previous prime is 405211. The next prime is 405221. The reversal of 405213 is 312504.

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

It is not a de Polignac number, because 405213 - 2¹ = 405211 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 405192 and 405201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405211) 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, 3498 + ... + 3611.

It is an arithmetic number, because the mean of its divisors is an integer number (71100).

2⁴⁰⁵²¹³ is an apocalyptic number.

It is an amenable number.

405213 is a deficient number, since it is larger than the sum of its proper divisors (163587).

405213 is a wasteful number, since it uses less digits than its factorization.

405213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 405213 is about 636.5634296753. The cubic root of 405213 is about 73.9993304054. Note that the first 3 decimals are identical.

Adding to 405213 its reverse (312504), we get a palindrome (717717).

It can be divided in two parts, 40 and 5213, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 405213 in words is "four hundred five thousand, two hundred thirteen".