165813024 has 48 divisors (see below), whose sum is σ = 468744192. Its totient is φ = 51019008.

The previous prime is 165813023. The next prime is 165813029. The reversal of 165813024 is 420318561.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 165812982 and 165813000.

It is not an unprimeable number, because it can be changed into a prime (165813023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65184 + ... + 67679.

It is an arithmetic number, because the mean of its divisors is an integer number (9765504).

Almost surely, 2^165813024 is an apocalyptic number.

It is an amenable number.

165813024 is an abundant number, since it is smaller than the sum of its proper divisors (302931168).

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

165813024 is a wasteful number, since it uses less digits than its factorization.

165813024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132889 (or 132881 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 165813024 is about 12876.8406062978. The cubic root of 165813024 is about 549.3800441527.

The spelling of 165813024 in words is "one hundred sixty-five million, eight hundred thirteen thousand, twenty-four".