85772564 has 6 divisors (see below), whose sum is σ = 150101994. Its totient is φ = 42886280.

The previous prime is 85772563. The next prime is 85772569. The reversal of 85772564 is 46527758.

It can be written as a sum of positive squares in only one way, i.e., 85747600 + 24964 = 9260^2 + 158^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85772563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10721567 + ... + 10721574.

It is an arithmetic number, because the mean of its divisors is an integer number (25016999).

Almost surely, 2^85772564 is an apocalyptic number.

It is an amenable number.

85772564 is a deficient number, since it is larger than the sum of its proper divisors (64329430).

85772564 is a wasteful number, since it uses less digits than its factorization.

85772564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21443145 (or 21443143 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 85772564 is about 9261.3478500702. The cubic root of 85772564 is about 441.0110427902.

The spelling of 85772564 in words is "eighty-five million, seven hundred seventy-two thousand, five hundred sixty-four".