90005137 has 2 divisors, whose sum is σ = 90005138. Its totient is φ = 90005136.

The previous prime is 90005101. The next prime is 90005173. The reversal of 90005137 is 73150009.

Together with next prime (90005173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (90005101) and next prime (90005173).

It can be written as a sum of positive squares in only one way, i.e., 80120401 + 9884736 = 8951^2 + 3144^2 .

It is a cyclic number.

It is not a de Polignac number, because 90005137 - 2¹⁵ = 89972369 is a prime.

It is not a weakly prime, because it can be changed into another prime (90005197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45002568 + 45002569.

It is an arithmetic number, because the mean of its divisors is an integer number (45002569).

Almost surely, 2^90005137 is an apocalyptic number.

It is an amenable number.

90005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

90005137 is an equidigital number, since it uses as much as digits as its factorization.

90005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 90005137 is about 9487.1037203142. The cubic root of 90005137 is about 448.1490007810.

The spelling of 90005137 in words is "ninety million, five thousand, one hundred thirty-seven".