61731037 has 2 divisors, whose sum is σ = 61731038. Its totient is φ = 61731036.

The previous prime is 61730993. The next prime is 61731041. The reversal of 61731037 is 73013716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50041476 + 11689561 = 7074^2 + 3419^2 .

It is a cyclic number.

It is not a de Polignac number, because 61731037 - 2¹⁵ = 61698269 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 61730996 and 61731014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61731067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30865518 + 30865519.

It is an arithmetic number, because the mean of its divisors is an integer number (30865519).

Almost surely, 2^61731037 is an apocalyptic number.

It is an amenable number.

61731037 is a deficient number, since it is larger than the sum of its proper divisors (1).

61731037 is an equidigital number, since it uses as much as digits as its factorization.

61731037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 61731037 is about 7856.9101433070. The cubic root of 61731037 is about 395.2160053407.

The spelling of 61731037 in words is "sixty-one million, seven hundred thirty-one thousand, thirty-seven".