61333 has 2 divisors, whose sum is σ = 61334. Its totient is φ = 61332.

The previous prime is 61331. The next prime is 61339. The reversal of 61333 is 33316.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 324 = 247^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 61333 - 2¹ = 61331 is a prime.

Together with 61331, it forms a pair of twin primes.

61333 is a modest number, since divided by 333 gives 61 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61331) 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, 30666 + 30667.

It is an arithmetic number, because the mean of its divisors is an integer number (30667).

2⁶¹³³³ is an apocalyptic number.

It is an amenable number.

61333 is a deficient number, since it is larger than the sum of its proper divisors (1).

61333 is an equidigital number, since it uses as much as digits as its factorization.

61333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 16.

The square root of 61333 is about 247.6550019685. The cubic root of 61333 is about 39.4364732215.

Adding to 61333 its reverse (33316), we get a palindrome (94649).

It can be divided in two parts, 613 and 33, that added together give a palindrome (646).

The spelling of 61333 in words is "sixty-one thousand, three hundred thirty-three".