165801376 has 48 divisors (see below), whose sum is σ = 360141768. Its totient is φ = 74649600.

The previous prime is 165801367. The next prime is 165801431. The reversal of 165801376 is 673108561.

165801376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23619600 + 142181776 = 4860^2 + 11924^2 .

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, 12196 + ... + 21916.

Almost surely, 2^165801376 is an apocalyptic number.

165801376 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 165801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180070884).

165801376 is an abundant number, since it is smaller than the sum of its proper divisors (194340392).

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

165801376 is a wasteful number, since it uses less digits than its factorization.

165801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 165801376 is about 12876.3883134985. The cubic root of 165801376 is about 549.3671796052.

It can be divided in two parts, 16580 and 1376, that added together give a square (17956 = 134²).

The spelling of 165801376 in words is "one hundred sixty-five million, eight hundred one thousand, three hundred seventy-six".