413971 has 4 divisors (see below), whose sum is σ = 415512. Its totient is φ = 412432.

The previous prime is 413951. The next prime is 413981. The reversal of 413971 is 179314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 179314 = 2 ⋅89657.

It is a cyclic number.

It is not a de Polignac number, because 413971 - 2¹¹ = 411923 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413911) 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, 250 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (103878).

2⁴¹³⁹⁷¹ is an apocalyptic number.

413971 is a deficient number, since it is larger than the sum of its proper divisors (1541).

413971 is a wasteful number, since it uses less digits than its factorization.

413971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540.

The product of its digits is 756, while the sum is 25.

The square root of 413971 is about 643.4057817583. The cubic root of 413971 is about 74.5286588538.

The spelling of 413971 in words is "four hundred thirteen thousand, nine hundred seventy-one".