32000413 has 2 divisors, whose sum is σ = 32000414. Its totient is φ = 32000412.

The previous prime is 32000411. The next prime is 32000447. The reversal of 32000413 is 31400023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20958084 + 11042329 = 4578^2 + 3323^2 .

It is an emirp because it is prime and its reverse (31400023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32000413 - 2¹ = 32000411 is a prime.

It is a super-3 number, since 3×32000413³ (a number of 23 digits) contains 333 as substring.

Together with 32000411, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 32000393 and 32000402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32000411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16000206 + 16000207.

It is an arithmetic number, because the mean of its divisors is an integer number (16000207).

Almost surely, 2^32000413 is an apocalyptic number.

It is an amenable number.

32000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

32000413 is an equidigital number, since it uses as much as digits as its factorization.

32000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 32000413 is about 5656.8907537622. The cubic root of 32000413 is about 317.4815762141.

Adding to 32000413 its reverse (31400023), we get a palindrome (63400436).

The spelling of 32000413 in words is "thirty-two million, four hundred thirteen", and thus it is an aban number.