85966777 has 8 divisors (see below), whose sum is σ = 92818376. Its totient is φ = 79149312.

The previous prime is 85966753. The next prime is 85966843. The reversal of 85966777 is 77766958.

It can be written as a sum of positive squares in 4 ways, for example, as 31147561 + 54819216 = 5581^2 + 7404^2 .

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 85966777 - 2²³ = 77578169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85966877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3168 + ... + 13489.

It is an arithmetic number, because the mean of its divisors is an integer number (11602297).

Almost surely, 2^85966777 is an apocalyptic number.

It is an amenable number.

85966777 is a deficient number, since it is larger than the sum of its proper divisors (6851599).

85966777 is a wasteful number, since it uses less digits than its factorization.

85966777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17067.

The product of its digits is 4445280, while the sum is 55.

The square root of 85966777 is about 9271.8270583526. The cubic root of 85966777 is about 441.3436491997.

It can be divided in two parts, 8 and 5966777, that added together give a triangular number (5966785 = T₃₄₅₄).

The spelling of 85966777 in words is "eighty-five million, nine hundred sixty-six thousand, seven hundred seventy-seven".