61629137 has 2 divisors, whose sum is σ = 61629138. Its totient is φ = 61629136.

The previous prime is 61629119. The next prime is 61629143. The reversal of 61629137 is 73192616.

61629137 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., 46566976 + 15062161 = 6824^2 + 3881^2 .

61629137 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 61629137 - 2¹⁰ = 61628113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61629097 and 61629106.

It is not a weakly prime, because it can be changed into another prime (61629037) 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, 30814568 + 30814569.

It is an arithmetic number, because the mean of its divisors is an integer number (30814569).

Almost surely, 2^61629137 is an apocalyptic number.

It is an amenable number.

61629137 is a deficient number, since it is larger than the sum of its proper divisors (1).

61629137 is an equidigital number, since it uses as much as digits as its factorization.

61629137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The square root of 61629137 is about 7850.4227274714. The cubic root of 61629137 is about 394.9984233233.

The spelling of 61629137 in words is "sixty-one million, six hundred twenty-nine thousand, one hundred thirty-seven".