85378041 has 18 divisors (see below), whose sum is σ = 143459082. Its totient is φ = 48787200.

The previous prime is 85378021. The next prime is 85378049. The reversal of 85378041 is 14087358.

85378041 is a `hidden beast` number, since 8 + 537 + 80 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 441 = 9240^2 + 21^2 .

It is not a de Polignac number, because 85378041 - 2⁷ = 85377913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85377987 and 85378005.

It is not an unprimeable number, because it can be changed into a prime (85378049) by changing a digit.

It is a nontrivial repunit in base 440.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96360 + ... + 97241.

It is an arithmetic number, because the mean of its divisors is an integer number (7969949).

Almost surely, 2^85378041 is an apocalyptic number.

It is an amenable number.

85378041 is a deficient number, since it is larger than the sum of its proper divisors (58081041).

85378041 is a wasteful number, since it uses less digits than its factorization.

85378041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193621 (or 193611 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85378041 is about 9240.0238636055. The cubic root of 85378041 is about 440.3338392744. Note that the first 3 decimals are identical.

The spelling of 85378041 in words is "eighty-five million, three hundred seventy-eight thousand, forty-one".