405693 has 6 divisors (see below), whose sum is σ = 586014. Its totient is φ = 270456.

The previous prime is 405689. The next prime is 405701. The reversal of 405693 is 396504.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 356409 + 49284 = 597^2 + 222^2 .

It is not a de Polignac number, because 405693 - 2² = 405689 is a prime.

It is a Curzon number.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 22530 + ... + 22547.

It is an arithmetic number, because the mean of its divisors is an integer number (97669).

2⁴⁰⁵⁶⁹³ is an apocalyptic number.

It is an amenable number.

405693 is a deficient number, since it is larger than the sum of its proper divisors (180321).

405693 is a wasteful number, since it uses less digits than its factorization.

405693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45083 (or 45080 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 405693 is about 636.9403425753. The cubic root of 405693 is about 74.0285378122.

The spelling of 405693 in words is "four hundred five thousand, six hundred ninety-three".