2413 has 4 divisors (see below), whose sum is σ = 2560. Its totient is φ = 2268.

The previous prime is 2411. The next prime is 2417. The reversal of 2413 is 3142.

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: 3142 = 2 ⋅1571.

It is a cyclic number.

It is not a de Polignac number, because 2413 - 2¹ = 2411 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8, base 13 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (640).

It is an amenable number.

2413 is a deficient number, since it is larger than the sum of its proper divisors (147).

2413 is a wasteful number, since it uses less digits than its factorization.

2413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its digits is 24, while the sum is 10.

The square root of 2413 is about 49.1222963633. The cubic root of 2413 is about 13.4127894527.

Adding to 2413 its reverse (3142), we get a palindrome (5555).

Subtracting 2413 from its reverse (3142), we obtain a 6-th power (729 = 3⁶).

The spelling of 2413 in words is "two thousand, four hundred thirteen".