413733 has 4 divisors (see below), whose sum is σ = 551648. Its totient is φ = 275820.

The previous prime is 413719. The next prime is 413737. The reversal of 413733 is 337314.

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 413733 - 2⁸ = 413477 is a prime.

It is a D-number.

It is a Duffinian number.

413733 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68953 + ... + 68958.

It is an arithmetic number, because the mean of its divisors is an integer number (137912).

2⁴¹³⁷³³ is an apocalyptic number.

It is an amenable number.

413733 is a deficient number, since it is larger than the sum of its proper divisors (137915).

413733 is a wasteful number, since it uses less digits than its factorization.

413733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137914.

The product of its digits is 756, while the sum is 21.

The square root of 413733 is about 643.2208019024. The cubic root of 413733 is about 74.5143734560.

The spelling of 413733 in words is "four hundred thirteen thousand, seven hundred thirty-three".