85785667 has 8 divisors (see below), whose sum is σ = 94205952. Its totient is φ = 77469000.

The previous prime is 85785643. The next prime is 85785673. The reversal of 85785667 is 76658758.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85785667 - 2¹⁵ = 85752899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85785697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24163 + ... + 27484.

It is an arithmetic number, because the mean of its divisors is an integer number (11775744).

Almost surely, 2^85785667 is an apocalyptic number.

85785667 is a deficient number, since it is larger than the sum of its proper divisors (8420285).

85785667 is a wasteful number, since it uses less digits than its factorization.

85785667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51809.

The product of its digits is 2822400, while the sum is 52.

The square root of 85785667 is about 9262.0552254886. The cubic root of 85785667 is about 441.0334985857.

The spelling of 85785667 in words is "eighty-five million, seven hundred eighty-five thousand, six hundred sixty-seven".