413721 has 32 divisors (see below), whose sum is σ = 768000. Its totient is φ = 213840.

The previous prime is 413719. The next prime is 413737. The reversal of 413721 is 127314.

It is not a de Polignac number, because 413721 - 2¹ = 413719 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413694 and 413703.

It is not an unprimeable number, because it can be changed into a prime (413711) 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 31 ways as a sum of consecutive naturals, for example, 1980 + ... + 2178.

It is an arithmetic number, because the mean of its divisors is an integer number (24000).

2⁴¹³⁷²¹ is an apocalyptic number.

It is an amenable number.

413721 is a deficient number, since it is larger than the sum of its proper divisors (354279).

413721 is a wasteful number, since it uses less digits than its factorization.

413721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 413721 is about 643.2114737783. The cubic root of 413721 is about 74.5136530388.

The spelling of 413721 in words is "four hundred thirteen thousand, seven hundred twenty-one".