85093953 has 32 divisors (see below), whose sum is σ = 132701184. Its totient is φ = 47500992.

The previous prime is 85093949. The next prime is 85093961. The reversal of 85093953 is 35939058.

It is not a de Polignac number, because 85093953 - 2² = 85093949 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85093903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277026 + ... + 277332.

It is an arithmetic number, because the mean of its divisors is an integer number (4146912).

Almost surely, 2^85093953 is an apocalyptic number.

It is an amenable number.

85093953 is a deficient number, since it is larger than the sum of its proper divisors (47607231).

85093953 is a wasteful number, since it uses less digits than its factorization.

85093953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 85093953 is about 9224.6383668955. The cubic root of 85093953 is about 439.8449057372.

The spelling of 85093953 in words is "eighty-five million, ninety-three thousand, nine hundred fifty-three".