85782085 has 8 divisors (see below), whose sum is σ = 108993816. Its totient is φ = 64588800.

The previous prime is 85782061. The next prime is 85782091. The reversal of 85782085 is 58028758.

It can be written as a sum of positive squares in 4 ways, for example, as 6625476 + 79156609 = 2574^2 + 8897^2 .

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

It is not a de Polignac number, because 85782085 - 2⁷ = 85781957 is a prime.

It is a super-2 number, since 2×85782085² = 14717132213894450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504516 + ... + 504685.

It is an arithmetic number, because the mean of its divisors is an integer number (13624227).

Almost surely, 2^85782085 is an apocalyptic number.

85782085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85782085 is a deficient number, since it is larger than the sum of its proper divisors (23211731).

85782085 is a wasteful number, since it uses less digits than its factorization.

85782085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009223.

The product of its (nonzero) digits is 179200, while the sum is 43.

The square root of 85782085 is about 9261.8618538607. The cubic root of 85782085 is about 441.0273600157.

The spelling of 85782085 in words is "eighty-five million, seven hundred eighty-two thousand, eighty-five".