165642256 has 40 divisors (see below), whose sum is σ = 350385560. Its totient is φ = 75396096.

The previous prime is 165642233. The next prime is 165642299. The reversal of 165642256 is 652246561.

It can be written as a sum of positive squares in 4 ways, for example, as 1392400 + 164249856 = 1180^2 + 12816^2 .

It is a super-3 number, since 3×165642256³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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, 9730 + ... + 20638.

It is an arithmetic number, because the mean of its divisors is an integer number (8759639).

Almost surely, 2^165642256 is an apocalyptic number.

165642256 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 165642256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175192780).

165642256 is an abundant number, since it is smaller than the sum of its proper divisors (184743304).

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

165642256 is a wasteful number, since it uses less digits than its factorization.

165642256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003 (or 10997 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 165642256 is about 12870.2080791260. The cubic root of 165642256 is about 549.1913803308.

The spelling of 165642256 in words is "one hundred sixty-five million, six hundred forty-two thousand, two hundred fifty-six".