472013 has 4 divisors (see below), whose sum is σ = 473820. Its totient is φ = 470208.

The previous prime is 471997. The next prime is 472019. The reversal of 472013 is 310274.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310274 = 2 ⋅155137.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 413449 = 242^2 + 643^2 .

It is a cyclic number.

It is not a de Polignac number, because 472013 - 2⁴ = 471997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 471982 and 472000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472019) 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, 428 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (118455).

2⁴⁷²⁰¹³ is an apocalyptic number.

It is an amenable number.

472013 is a deficient number, since it is larger than the sum of its proper divisors (1807).

472013 is a wasteful number, since it uses less digits than its factorization.

472013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 472013 is about 687.0320225433. The cubic root of 472013 is about 77.8606431266.

Adding to 472013 its reverse (310274), we get a palindrome (782287).

The spelling of 472013 in words is "four hundred seventy-two thousand, thirteen".