165461320 has 32 divisors (see below), whose sum is σ = 373491000. Its totient is φ = 65970688.

The previous prime is 165461297. The next prime is 165461321. The reversal of 165461320 is 23164561.

It can be written as a sum of positive squares in 4 ways, for example, as 96471684 + 68989636 = 9822^2 + 8306^2 .

It is a super-2 number, since 2×165461320² = 54754896832284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165461321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6156 + ... + 19204.

Almost surely, 2^165461320 is an apocalyptic number.

165461320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165461320 is an abundant number, since it is smaller than the sum of its proper divisors (208029680).

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

165461320 is a wasteful number, since it uses less digits than its factorization.

165461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13377 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 165461320 is about 12863.1769015279. The cubic root of 165461320 is about 548.9913414095.

The spelling of 165461320 in words is "one hundred sixty-five million, four hundred sixty-one thousand, three hundred twenty".