480113 has 2 divisors, whose sum is σ = 480114. Its totient is φ = 480112.

The previous prime is 480107. The next prime is 480133. The reversal of 480113 is 311084.

It is a happy number.

480113 is nontrivially palindromic in base 8.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418609 + 61504 = 647^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 480113 - 2⁶ = 480049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480091 and 480100.

It is not a weakly prime, because it can be changed into another prime (480133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240056 + 240057.

It is an arithmetic number, because the mean of its divisors is an integer number (240057).

2⁴⁸⁰¹¹³ is an apocalyptic number.

It is an amenable number.

480113 is a deficient number, since it is larger than the sum of its proper divisors (1).

480113 is an equidigital number, since it uses as much as digits as its factorization.

480113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 480113 is about 692.9018689540. The cubic root of 480113 is about 78.3034965086.

Adding to 480113 its reverse (311084), we get a palindrome (791197).

The spelling of 480113 in words is "four hundred eighty thousand, one hundred thirteen".