85478393 has 36 divisors (see below), whose sum is σ = 117808740. Its totient is φ = 61427520.

The previous prime is 85478387. The next prime is 85478413. The reversal of 85478393 is 39387458.

It can be written as a sum of positive squares in 2 ways, for example, as 5697769 + 79780624 = 2387^2 + 8932^2 .

It is not a de Polignac number, because 85478393 - 2¹⁸ = 85216249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85478333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76523 + ... + 77631.

It is an arithmetic number, because the mean of its divisors is an integer number (3272465).

Almost surely, 2^85478393 is an apocalyptic number.

It is an amenable number.

85478393 is a deficient number, since it is larger than the sum of its proper divisors (32330347).

85478393 is a wasteful number, since it uses less digits than its factorization.

85478393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 85478393 is about 9245.4525578795. The cubic root of 85478393 is about 440.5062922043.

The spelling of 85478393 in words is "eighty-five million, four hundred seventy-eight thousand, three hundred ninety-three".