165352248 has 96 divisors (see below), whose sum is σ = 459538560. Its totient is φ = 53697600.

The previous prime is 165352241. The next prime is 165352259. The reversal of 165352248 is 842253561.

165352248 is a `hidden beast` number, since 1 + 65 + 352 + 248 = 666.

165352248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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).

Its product of digits (57600) is a multiple of the sum of its prime divisors (450).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165352241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728311 + ... + 728537.

It is an arithmetic number, because the mean of its divisors is an integer number (4786860).

Almost surely, 2^165352248 is an apocalyptic number.

165352248 is a gapful number since it is divisible by the number (18) 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 165352248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229769280).

165352248 is an abundant number, since it is smaller than the sum of its proper divisors (294186312).

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

165352248 is a wasteful number, since it uses less digits than its factorization.

165352248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 165352248 is about 12858.9365034594. The cubic root of 165352248 is about 548.8706833086.

It can be divided in two parts, 165352 and 248, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 165352248 in words is "one hundred sixty-five million, three hundred fifty-two thousand, two hundred forty-eight".