165314656 has 48 divisors (see below), whose sum is σ = 351727488. Its totient is φ = 76032000.

The previous prime is 165314603. The next prime is 165314663. The reversal of 165314656 is 656413561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166321 + ... + 167311.

It is an arithmetic number, because the mean of its divisors is an integer number (7327656).

Almost surely, 2^165314656 is an apocalyptic number.

165314656 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 165314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175863744).

165314656 is an abundant number, since it is smaller than the sum of its proper divisors (186412832).

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

165314656 is a wasteful number, since it uses less digits than its factorization.

165314656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1407 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 165314656 is about 12857.4747131775. The cubic root of 165314656 is about 548.8290858285.

It can be divided in two parts, 165 and 314656, that added together give a triangular number (314821 = T₇₉₃).

The spelling of 165314656 in words is "one hundred sixty-five million, three hundred fourteen thousand, six hundred fifty-six".