165753216 has 144 divisors (see below), whose sum is σ = 501506460. Its totient is φ = 54494208.

The previous prime is 165753209. The next prime is 165753223. The reversal of 165753216 is 612357561.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (165753209) and next prime (165753223).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×165753216² = 54948257228685312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (37800) is a multiple of the sum of its prime factors (175).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2270556 + ... + 2270628.

Almost surely, 2^165753216 is an apocalyptic number.

165753216 is a gapful number since it is divisible by the number (16) 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 165753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250753230).

165753216 is an abundant number, since it is smaller than the sum of its proper divisors (335753244).

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

165753216 is an frugal number, since it uses more digits than its factorization.

165753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 78 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 165753216 is about 12874.5180880684. The cubic root of 165753216 is about 549.3139832524.

It can be divided in two parts, 16575 and 3216, that added together give a palindrome (19791).

The spelling of 165753216 in words is "one hundred sixty-five million, seven hundred fifty-three thousand, two hundred sixteen".