861207165 has 192 divisors, whose sum is σ = 1981324800. Its totient is φ = 335757312.

The previous prime is 861207163. The next prime is 861207251. The reversal of 861207165 is 561702168.

It is not a de Polignac number, because 861207165 - 2¹ = 861207163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861207161) 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 191 ways as a sum of consecutive naturals, for example, 6195666 + ... + 6195804.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^861207165 is an apocalyptic number.

861207165 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

861207165 is an abundant number, since it is smaller than the sum of its proper divisors (1120117635).

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

861207165 is a wasteful number, since it uses less digits than its factorization.

861207165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 861207165 is about 29346.3313720812. The cubic root of 861207165 is about 951.4132851924.

The spelling of 861207165 in words is "eight hundred sixty-one million, two hundred seven thousand, one hundred sixty-five".