1085137 has 2 divisors, whose sum is σ = 1085138. Its totient is φ = 1085136.

The previous prime is 1085131. The next prime is 1085141. The reversal of 1085137 is 7315801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 853776 + 231361 = 924^2 + 481^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1085137 is a prime.

It is a super-3 number, since 3×1085137³ = 3833319076711999059, which contains 333 as substring.

1085137 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1085131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542568 + 542569.

It is an arithmetic number, because the mean of its divisors is an integer number (542569).

2^1085137 is an apocalyptic number.

It is an amenable number.

1085137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085137 is an equidigital number, since it uses as much as digits as its factorization.

1085137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 1085137 is about 1041.6990928286. The cubic root of 1085137 is about 102.7609689472.

The spelling of 1085137 in words is "one million, eighty-five thousand, one hundred thirty-seven".