1006364137 has 2 divisors, whose sum is σ = 1006364138. Its totient is φ = 1006364136.

The previous prime is 1006364111. The next prime is 1006364167. The reversal of 1006364137 is 7314636001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 893770816 + 112593321 = 29896^2 + 10611^2 .

It is an emirp because it is prime and its reverse (7314636001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006364137 - 2¹⁵ = 1006331369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006364099 and 1006364108.

It is not a weakly prime, because it can be changed into another prime (1006364167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503182068 + 503182069.

It is an arithmetic number, because the mean of its divisors is an integer number (503182069).

Almost surely, 2^1006364137 is an apocalyptic number.

It is an amenable number.

1006364137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006364137 is an equidigital number, since it uses as much as digits as its factorization.

1006364137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1006364137 is about 31723.2428512597. The cubic root of 1006364137 is about 1002.1168945952.

The spelling of 1006364137 in words is "one billion, six million, three hundred sixty-four thousand, one hundred thirty-seven".