63613 has 4 divisors (see below), whose sum is σ = 69408. Its totient is φ = 57820.

The previous prime is 63611. The next prime is 63617. The reversal of 63613 is 31636.

63613 = T₁₀₂ + T₁₀₃ + ... + T₁₁₂.

It is a happy number.

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.

It is a cyclic number.

It is not a de Polignac number, because 63613 - 2¹ = 63611 is a prime.

It is a super-2 number, since 2×63613² = 8093227538, which contains 22 as substring.

It is a Duffinian number.

63613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63611) 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 in 3 ways as a sum of consecutive naturals, for example, 2881 + ... + 2902.

It is an arithmetic number, because the mean of its divisors is an integer number (17352).

2⁶³⁶¹³ is an apocalyptic number.

It is an amenable number.

63613 is a deficient number, since it is larger than the sum of its proper divisors (5795).

63613 is a wasteful number, since it uses less digits than its factorization.

63613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794.

The product of its digits is 324, while the sum is 19.

The square root of 63613 is about 252.2161771180. The cubic root of 63613 is about 39.9192119421.

It can be divided in two parts, 63 and 613, that added together give a palindrome (676).

The spelling of 63613 in words is "sixty-three thousand, six hundred thirteen".