64413 has 12 divisors (see below), whose sum is σ = 98748. Its totient is φ = 40320.

The previous prime is 64403. The next prime is 64433. The reversal of 64413 is 31446.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 45369 = 138^2 + 213^2 .

It is not a de Polignac number, because 64413 - 2⁵ = 64381 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (8229).

2⁶⁴⁴¹³ is an apocalyptic number.

It is an amenable number.

64413 is a deficient number, since it is larger than the sum of its proper divisors (34335).

64413 is a wasteful number, since it uses less digits than its factorization.

64413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 64413 is about 253.7971631047. The cubic root of 64413 is about 40.0858572481.

Adding to 64413 its reverse (31446), we get a palindrome (95859).

The spelling of 64413 in words is "sixty-four thousand, four hundred thirteen".