165333420 has 192 divisors, whose sum is σ = 593510400. Its totient is φ = 37428480.

The previous prime is 165333419. The next prime is 165333457. The reversal of 165333420 is 24333561.

It is a happy number.

165333420 is a `hidden beast` number, since 1 + 653 + 3 + 3 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721866 + ... + 722094.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 2^165333420 is an apocalyptic number.

165333420 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 165333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296755200).

165333420 is an abundant number, since it is smaller than the sum of its proper divisors (428176980).

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

165333420 is a wasteful number, since it uses less digits than its factorization.

165333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 165333420 is about 12858.2043847498. The cubic root of 165333420 is about 548.8498499471.

Adding to 165333420 its reverse (24333561), we get a palindrome (189666981).

The spelling of 165333420 in words is "one hundred sixty-five million, three hundred thirty-three thousand, four hundred twenty".