85787451 has 32 divisors (see below), whose sum is σ = 136928000. Its totient is φ = 52907904.

The previous prime is 85787441. The next prime is 85787461. The reversal of 85787451 is 15478758.

It is a happy number.

85787451 is a `hidden beast` number, since 8 + 578 + 74 + 5 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (85787441) and next prime (85787461).

It is not a de Polignac number, because 85787451 - 2⁵ = 85787419 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85787397 and 85787406.

It is not an unprimeable number, because it can be changed into a prime (85787441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20115 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (4279000).

Almost surely, 2^85787451 is an apocalyptic number.

85787451 is a deficient number, since it is larger than the sum of its proper divisors (51140549).

85787451 is a wasteful number, since it uses less digits than its factorization.

85787451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3954 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 85787451 is about 9262.1515319066. The cubic root of 85787451 is about 441.0365558109.

The spelling of 85787451 in words is "eighty-five million, seven hundred eighty-seven thousand, four hundred fifty-one".