85553793 has 32 divisors (see below), whose sum is σ = 138458880. Its totient is φ = 51891840.

The previous prime is 85553791. The next prime is 85553801. The reversal of 85553793 is 39735558.

85553793 is a `hidden beast` number, since 8 + 5 + 553 + 7 + 93 = 666.

It is not a de Polignac number, because 85553793 - 2¹ = 85553791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85553791) 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, 23205 + ... + 26637.

It is an arithmetic number, because the mean of its divisors is an integer number (4326840).

Almost surely, 2^85553793 is an apocalyptic number.

It is an amenable number.

85553793 is a deficient number, since it is larger than the sum of its proper divisors (52905087).

85553793 is a wasteful number, since it uses less digits than its factorization.

85553793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3520 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 85553793 is about 9249.5293393772. The cubic root of 85553793 is about 440.6357768301.

It can be divided in two parts, 85 and 553793, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 85553793 in words is "eighty-five million, five hundred fifty-three thousand, seven hundred ninety-three".