405633 has 4 divisors (see below), whose sum is σ = 540848. Its totient is φ = 270420.

The previous prime is 405611. The next prime is 405641. The reversal of 405633 is 336504.

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 not a de Polignac number, because 405633 - 2¹² = 401537 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67603 + ... + 67608.

It is an arithmetic number, because the mean of its divisors is an integer number (135212).

2⁴⁰⁵⁶³³ is an apocalyptic number.

It is an amenable number.

405633 is a deficient number, since it is larger than the sum of its proper divisors (135215).

405633 is a wasteful number, since it uses less digits than its factorization.

405633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135214.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 405633 is about 636.8932406613. The cubic root of 405633 is about 74.0248881467.

The spelling of 405633 in words is "four hundred five thousand, six hundred thirty-three".