85040137 has 24 divisors (see below), whose sum is σ = 112814856. Its totient is φ = 63318528.

The previous prime is 85040119. The next prime is 85040159. The reversal of 85040137 is 73104058.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 84989961 = 224^2 + 9219^2 .

It is not a de Polignac number, because 85040137 - 2⁷ = 85040009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85040237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6903 + ... + 14755.

It is an arithmetic number, because the mean of its divisors is an integer number (4700619).

Almost surely, 2^85040137 is an apocalyptic number.

It is an amenable number.

85040137 is a deficient number, since it is larger than the sum of its proper divisors (27774719).

85040137 is a wasteful number, since it uses less digits than its factorization.

85040137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 85040137 is about 9221.7209348364. The cubic root of 85040137 is about 439.7521624247.

The spelling of 85040137 in words is "eighty-five million, forty thousand, one hundred thirty-seven".