413023 has 4 divisors (see below), whose sum is σ = 444808. Its totient is φ = 381240.

The previous prime is 413009. The next prime is 413027. The reversal of 413023 is 320314.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 31771 = 413023 / (4 + 1 + 3 + 0 + 2 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 412994 and 413012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413027) 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, 15873 + ... + 15898.

It is an arithmetic number, because the mean of its divisors is an integer number (111202).

2⁴¹³⁰²³ is an apocalyptic number.

413023 is a deficient number, since it is larger than the sum of its proper divisors (31785).

413023 is a wasteful number, since it uses less digits than its factorization.

413023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31784.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 413023 is about 642.6686549070. The cubic root of 413023 is about 74.4717247774.

Adding to 413023 its reverse (320314), we get a palindrome (733337).

The spelling of 413023 in words is "four hundred thirteen thousand, twenty-three".