32413 has 2 divisors, whose sum is σ = 32414. Its totient is φ = 32412.

The previous prime is 32411. The next prime is 32423. The reversal of 32413 is 31423.

It is the 74-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 729 = 178^2 + 27^2 .

It is a cyclic number.

It is not a de Polignac number, because 32413 - 2¹ = 32411 is a prime.

Together with 32411, it forms a pair of twin primes.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 32393 and 32402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32411) 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, 16206 + 16207.

It is an arithmetic number, because the mean of its divisors is an integer number (16207).

2³²⁴¹³ is an apocalyptic number.

It is an amenable number.

32413 is a deficient number, since it is larger than the sum of its proper divisors (1).

32413 is an equidigital number, since it uses as much as digits as its factorization.

32413 is an odious number, because the sum of its binary digits is odd.

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

The square root of 32413 is about 180.0361074896. The cubic root of 32413 is about 31.8840202589.

Subtracting from 32413 its sum of digits (13), we obtain a square (32400 = 180²).

Adding to 32413 its reverse (31423), we get a palindrome (63836).

Subtracting from 32413 its reverse (31423), we obtain a triangular number (990 = T₄₄).

The spelling of 32413 in words is "thirty-two thousand, four hundred thirteen".