64113 has 16 divisors (see below), whose sum is σ = 101376. Its totient is φ = 35280.

The previous prime is 64109. The next prime is 64123. The reversal of 64113 is 31146.

It is not a de Polignac number, because 64113 - 2² = 64109 is a prime.

It is a super-2 number, since 2×64113² = 8220953538, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 64092 and 64101.

It is not an unprimeable number, because it can be changed into a prime (64123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (6336).

2⁶⁴¹¹³ is an apocalyptic number.

It is an amenable number.

64113 is a deficient number, since it is larger than the sum of its proper divisors (37263).

64113 is a wasteful number, since it uses less digits than its factorization.

64113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 72, while the sum is 15.

The square root of 64113 is about 253.2054501783. The cubic root of 64113 is about 40.0235278250.

Adding to 64113 its reverse (31146), we get a palindrome (95259).

The spelling of 64113 in words is "sixty-four thousand, one hundred thirteen".