165164000 has 96 divisors (see below), whose sum is σ = 409945536. Its totient is φ = 65395200.

The previous prime is 165163991. The next prime is 165164009. The reversal of 165164000 is 461561.

It is an interprime number because it is at equal distance from previous prime (165163991) and next prime (165164009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165164009) 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 15 ways as a sum of consecutive naturals, for example, 627869 + ... + 628131.

It is an arithmetic number, because the mean of its divisors is an integer number (4270266).

Almost surely, 2^165164000 is an apocalyptic number.

165164000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204972768).

165164000 is an abundant number, since it is smaller than the sum of its proper divisors (244781536).

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

165164000 is a wasteful number, since it uses less digits than its factorization.

165164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 165164000 is about 12851.6146845445. The cubic root of 165164000 is about 548.6623139140.

The spelling of 165164000 in words is "one hundred sixty-five million, one hundred sixty-four thousand".