852755967 has 120 divisors (see below), whose sum is σ = 1584693760. Its totient is φ = 440082720.

The previous prime is 852755927. The next prime is 852756013. The reversal of 852755967 is 769557258.

852755967 is a `hidden beast` number, since 8 + 5 + 27 + 559 + 67 = 666.

It is not a de Polignac number, because 852755967 - 2⁸ = 852755711 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852755927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12727668 + ... + 12727734.

Almost surely, 2^852755967 is an apocalyptic number.

852755967 is a deficient number, since it is larger than the sum of its proper divisors (731937793).

852755967 is a wasteful number, since it uses less digits than its factorization.

852755967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The square root of 852755967 is about 29201.9856687863. The cubic root of 852755967 is about 948.2909130950.

The spelling of 852755967 in words is "eight hundred fifty-two million, seven hundred fifty-five thousand, nine hundred sixty-seven".