61933 has 2 divisors, whose sum is σ = 61934. Its totient is φ = 61932.

The previous prime is 61927. The next prime is 61949. The reversal of 61933 is 33916.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51529 + 10404 = 227^2 + 102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61933 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61333) 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, 30966 + 30967.

It is an arithmetic number, because the mean of its divisors is an integer number (30967).

2⁶¹⁹³³ is an apocalyptic number.

It is an amenable number.

61933 is a deficient number, since it is larger than the sum of its proper divisors (1).

61933 is an equidigital number, since it uses as much as digits as its factorization.

61933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 22.

The square root of 61933 is about 248.8634163552. The cubic root of 61933 is about 39.5646540368.

The spelling of 61933 in words is "sixty-one thousand, nine hundred thirty-three".