208413 has 20 divisors (see below), whose sum is σ = 325248. Its totient is φ = 132840.

The previous prime is 208409. The next prime is 208433. The reversal of 208413 is 314802.

It is a happy number.

It is not a de Polignac number, because 208413 - 2² = 208409 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2470 + ... + 2552.

2²⁰⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

208413 is a deficient number, since it is larger than the sum of its proper divisors (116835).

208413 is an equidigital number, since it uses as much as digits as its factorization.

208413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 208413 is about 456.5227267070. The cubic root of 208413 is about 59.2891105341.

The spelling of 208413 in words is "two hundred eight thousand, four hundred thirteen".