61605337 has 2 divisors, whose sum is σ = 61605338. Its totient is φ = 61605336.

The previous prime is 61605319. The next prime is 61605347. The reversal of 61605337 is 73350616.

61605337 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., 32993536 + 28611801 = 5744^2 + 5349^2 .

It is a cyclic number.

It is not a de Polignac number, because 61605337 - 2¹⁵ = 61572569 is a prime.

It is equal to p_3651592 and since 61605337 and 3651592 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 61605299 and 61605308.

It is not a weakly prime, because it can be changed into another prime (61605307) 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, 30802668 + 30802669.

It is an arithmetic number, because the mean of its divisors is an integer number (30802669).

Almost surely, 2^61605337 is an apocalyptic number.

It is an amenable number.

61605337 is a deficient number, since it is larger than the sum of its proper divisors (1).

61605337 is an equidigital number, since it uses as much as digits as its factorization.

61605337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 61605337 is about 7848.9067391580. The cubic root of 61605337 is about 394.9475698182.

The spelling of 61605337 in words is "sixty-one million, six hundred five thousand, three hundred thirty-seven".