61505833 has 2 divisors, whose sum is σ = 61505834. Its totient is φ = 61505832.

The previous prime is 61505797. The next prime is 61505837. The reversal of 61505833 is 33850516.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 23164969 = 6192^2 + 4813^2 .

It is a cyclic number.

It is not a de Polignac number, because 61505833 - 2¹³ = 61497641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61505795 and 61505804.

It is not a weakly prime, because it can be changed into another prime (61505837) 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, 30752916 + 30752917.

It is an arithmetic number, because the mean of its divisors is an integer number (30752917).

Almost surely, 2^61505833 is an apocalyptic number.

It is an amenable number.

61505833 is a deficient number, since it is larger than the sum of its proper divisors (1).

61505833 is an equidigital number, since it uses as much as digits as its factorization.

61505833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 61505833 is about 7842.5654603580. The cubic root of 61505833 is about 394.7348174702.

The spelling of 61505833 in words is "sixty-one million, five hundred five thousand, eight hundred thirty-three".