85093437 has 32 divisors (see below), whose sum is σ = 134346240. Its totient is φ = 47229120.

The previous prime is 85093433. The next prime is 85093439. The reversal of 85093437 is 73439058.

It is not a de Polignac number, because 85093437 - 2² = 85093433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 85093395 and 85093404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85093433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58918 + ... + 60344.

It is an arithmetic number, because the mean of its divisors is an integer number (4198320).

Almost surely, 2^85093437 is an apocalyptic number.

It is an amenable number.

85093437 is a deficient number, since it is larger than the sum of its proper divisors (49252803).

85093437 is a wasteful number, since it uses less digits than its factorization.

85093437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 85093437 is about 9224.6103982770. The cubic root of 85093437 is about 439.8440166790.

The spelling of 85093437 in words is "eighty-five million, ninety-three thousand, four hundred thirty-seven".