71631137 has 2 divisors, whose sum is σ = 71631138. Its totient is φ = 71631136.

The previous prime is 71631103. The next prime is 71631167. The reversal of 71631137 is 73113617.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63616576 + 8014561 = 7976^2 + 2831^2 .

It is a cyclic number.

It is not a de Polignac number, because 71631137 - 2¹⁶ = 71565601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71631167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35815568 + 35815569.

It is an arithmetic number, because the mean of its divisors is an integer number (35815569).

Almost surely, 2^71631137 is an apocalyptic number.

It is an amenable number.

71631137 is a deficient number, since it is larger than the sum of its proper divisors (1).

71631137 is an equidigital number, since it uses as much as digits as its factorization.

71631137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 29.

The square root of 71631137 is about 8463.5180037618. The cubic root of 71631137 is about 415.3051164987.

The spelling of 71631137 in words is "seventy-one million, six hundred thirty-one thousand, one hundred thirty-seven".