61005037 has 2 divisors, whose sum is σ = 61005038. Its totient is φ = 61005036.

The previous prime is 61005031. The next prime is 61005059. The reversal of 61005037 is 73050016.

It is an a-pointer prime, because the next prime (61005059) can be obtained adding 61005037 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59814756 + 1190281 = 7734^2 + 1091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61005037 is a prime.

It is a super-2 number, since 2×61005037² = 7443229078742738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61004999 and 61005017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61005031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30502518 + 30502519.

It is an arithmetic number, because the mean of its divisors is an integer number (30502519).

Almost surely, 2^61005037 is an apocalyptic number.

It is an amenable number.

61005037 is a deficient number, since it is larger than the sum of its proper divisors (1).

61005037 is an equidigital number, since it uses as much as digits as its factorization.

61005037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 61005037 is about 7810.5721301323. The cubic root of 61005037 is about 393.6605530592.

The spelling of 61005037 in words is "sixty-one million, five thousand, thirty-seven".