85787532 has 48 divisors (see below), whose sum is σ = 222929280. Its totient is φ = 28529424.

The previous prime is 85787521. The next prime is 85787543. The reversal of 85787532 is 23578758.

85787532 is a `hidden beast` number, since 8 + 578 + 75 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85787521) and next prime (85787543).

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 73183 + ... + 74345.

It is an arithmetic number, because the mean of its divisors is an integer number (4644360).

Almost surely, 2^85787532 is an apocalyptic number.

It is an amenable number.

85787532 is an abundant number, since it is smaller than the sum of its proper divisors (137141748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85787532 is a wasteful number, since it uses less digits than its factorization.

85787532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1851 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 85787532 is about 9262.1559045397. The cubic root of 85787532 is about 441.0366946189.

It can be divided in two parts, 8578 and 7532, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 85787532 in words is "eighty-five million, seven hundred eighty-seven thousand, five hundred thirty-two".