402205 has 8 divisors (see below), whose sum is σ = 486072. Its totient is φ = 319488.

The previous prime is 402197. The next prime is 402221. The reversal of 402205 is 502204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34969 + 367236 = 187^2 + 606^2 .

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 402205 - 2³ = 402197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129 + ... + 1441.

It is an arithmetic number, because the mean of its divisors is an integer number (60759).

2⁴⁰²²⁰⁵ is an apocalyptic number.

It is an amenable number.

402205 is a deficient number, since it is larger than the sum of its proper divisors (83867).

402205 is a wasteful number, since it uses less digits than its factorization.

402205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 402205 is about 634.1963418374. The cubic root of 402205 is about 73.8157701137.

Adding to 402205 its reverse (502204), we get a palindrome (904409).

Subtracting 402205 from its reverse (502204), we obtain a palindrome (99999).

The spelling of 402205 in words is "four hundred two thousand, two hundred five".