413701 has 4 divisors (see below), whose sum is σ = 431712. Its totient is φ = 395692.

The previous prime is 413689. The next prime is 413711. The reversal of 413701 is 107314.

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, and also an emirpimes, since its reverse is a distinct semiprime: 107314 = 2 ⋅53657.

It is a de Polignac number, because none of the positive numbers 2^k-413701 is a prime.

It is a super-3 number, since 3×413701³ = 212412938391933303, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413711) 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, 8971 + ... + 9016.

It is an arithmetic number, because the mean of its divisors is an integer number (107928).

2⁴¹³⁷⁰¹ is an apocalyptic number.

It is an amenable number.

413701 is a deficient number, since it is larger than the sum of its proper divisors (18011).

413701 is a wasteful number, since it uses less digits than its factorization.

413701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18010.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 413701 is about 643.1959266040. The cubic root of 413701 is about 74.5124523125.

The spelling of 413701 in words is "four hundred thirteen thousand, seven hundred one".