413747 has 4 divisors (see below), whose sum is σ = 431760. Its totient is φ = 395736.

The previous prime is 413737. The next prime is 413753. The reversal of 413747 is 747314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 747314 = 2 ⋅373657.

It is a cyclic number.

It is not a de Polignac number, because 413747 - 2⁶ = 413683 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413737) 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, 8972 + ... + 9017.

It is an arithmetic number, because the mean of its divisors is an integer number (107940).

2⁴¹³⁷⁴⁷ is an apocalyptic number.

413747 is a deficient number, since it is larger than the sum of its proper divisors (18013).

413747 is a wasteful number, since it uses less digits than its factorization.

413747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18012.

The product of its digits is 2352, while the sum is 26.

The square root of 413747 is about 643.2316845430. The cubic root of 413747 is about 74.5152139252.

The spelling of 413747 in words is "four hundred thirteen thousand, seven hundred forty-seven".