85838067 has 24 divisors (see below), whose sum is σ = 149160960. Its totient is φ = 46468080.

The previous prime is 85838063. The next prime is 85838089. The reversal of 85838067 is 76083858.

85838067 is a `hidden beast` number, since 8 + 583 + 8 + 0 + 67 = 666.

It is not a de Polignac number, because 85838067 - 2² = 85838063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85838063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34659 + ... + 37052.

It is an arithmetic number, because the mean of its divisors is an integer number (6215040).

Almost surely, 2^85838067 is an apocalyptic number.

85838067 is a deficient number, since it is larger than the sum of its proper divisors (63322893).

85838067 is a wasteful number, since it uses less digits than its factorization.

85838067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71743 (or 71740 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85838067 is about 9264.8835394731. The cubic root of 85838067 is about 441.1232783524.

The spelling of 85838067 in words is "eighty-five million, eight hundred thirty-eight thousand, sixty-seven".