165344564 has 72 divisors (see below), whose sum is σ = 373591680. Its totient is φ = 62631360.

The previous prime is 165344537. The next prime is 165344579. The reversal of 165344564 is 465443561.

165344564 = 1327² + 1328² + ... + 1414².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124697 + ... + 126015.

Almost surely, 2^165344564 is an apocalyptic number.

165344564 is a gapful number since it is divisible by the number (14) 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 165344564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186795840).

165344564 is an abundant number, since it is smaller than the sum of its proper divisors (208247116).

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

165344564 is a wasteful number, since it uses less digits than its factorization.

165344564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1376 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 165344564 is about 12858.6377194476. The cubic root of 165344564 is about 548.8621810804.

The spelling of 165344564 in words is "one hundred sixty-five million, three hundred forty-four thousand, five hundred sixty-four".