85100037 has 16 divisors (see below), whose sum is σ = 127129152. Its totient is φ = 50181120.

The previous prime is 85100021. The next prime is 85100047. The reversal of 85100037 is 73000158.

It is not a de Polignac number, because 85100037 - 2⁴ = 85100021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85100017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33628 + ... + 36069.

It is an arithmetic number, because the mean of its divisors is an integer number (7945572).

Almost surely, 2^85100037 is an apocalyptic number.

It is an amenable number.

85100037 is a deficient number, since it is larger than the sum of its proper divisors (42029115).

85100037 is a wasteful number, since it uses less digits than its factorization.

85100037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69748.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 85100037 is about 9224.9681300262. The cubic root of 85100037 is about 439.8553880826.

The spelling of 85100037 in words is "eighty-five million, one hundred thousand, thirty-seven".