165405528 has 48 divisors (see below), whose sum is σ = 449448480. Its totient is φ = 54953664.

The previous prime is 165405511. The next prime is 165405533. The reversal of 165405528 is 825504561.

165405528 is a `hidden beast` number, since 1 + 65 + 40 + 552 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165405492 and 165405501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19201 + ... + 26447.

It is an arithmetic number, because the mean of its divisors is an integer number (9363510).

Almost surely, 2^165405528 is an apocalyptic number.

165405528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

165405528 is an abundant number, since it is smaller than the sum of its proper divisors (284042952).

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

165405528 is a wasteful number, since it uses less digits than its factorization.

165405528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 165405528 is about 12861.0080475832. The cubic root of 165405528 is about 548.9296295681.

The spelling of 165405528 in words is "one hundred sixty-five million, four hundred five thousand, five hundred twenty-eight".