61564037 has 2 divisors, whose sum is σ = 61564038. Its totient is φ = 61564036.

The previous prime is 61563979. The next prime is 61564051. The reversal of 61564037 is 73046516.

61564037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38514436 + 23049601 = 6206^2 + 4801^2 .

It is a cyclic number.

It is not a de Polignac number, because 61564037 - 2¹⁰ = 61563013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61563994 and 61564012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61584037) 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, 30782018 + 30782019.

It is an arithmetic number, because the mean of its divisors is an integer number (30782019).

Almost surely, 2^61564037 is an apocalyptic number.

It is an amenable number.

61564037 is a deficient number, since it is larger than the sum of its proper divisors (1).

61564037 is an equidigital number, since it uses as much as digits as its factorization.

61564037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 61564037 is about 7846.2753584105. The cubic root of 61564037 is about 394.8592929372.

The spelling of 61564037 in words is "sixty-one million, five hundred sixty-four thousand, thirty-seven".