165261384 has 112 divisors (see below), whose sum is σ = 476110800. Its totient is φ = 53724384.

The previous prime is 165261377. The next prime is 165261389. The reversal of 165261384 is 483162561.

It is a happy number.

165261384 is a `hidden beast` number, since 16 + 5 + 261 + 384 = 666.

It is a super-2 number, since 2×165261384² = 54622650083190912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (165261389) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 250447 + ... + 251105.

Almost surely, 2^165261384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165261384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238055400).

165261384 is an abundant number, since it is smaller than the sum of its proper divisors (310849416).

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

165261384 is an equidigital number, since it uses as much as digits as its factorization.

165261384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 165261384 is about 12855.4029108387. The cubic root of 165261384 is about 548.7701268210.

It can be divided in two parts, 1652 and 61384, that added together give a palindrome (63036).

The spelling of 165261384 in words is "one hundred sixty-five million, two hundred sixty-one thousand, three hundred eighty-four".