165752970 has 64 divisors (see below), whose sum is σ = 421825536. Its totient is φ = 41610240.

The previous prime is 165752963. The next prime is 165752971. The reversal of 165752970 is 79257561.

It is not an unprimeable number, because it can be changed into a prime (165752971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32002 + ... + 36818.

It is an arithmetic number, because the mean of its divisors is an integer number (6591024).

Almost surely, 2^165752970 is an apocalyptic number.

165752970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165752970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210912768).

165752970 is an abundant number, since it is smaller than the sum of its proper divisors (256072566).

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

165752970 is a wasteful number, since it uses less digits than its factorization.

165752970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895.

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 165752970 is about 12874.5085343092. The cubic root of 165752970 is about 549.3137115004.

The spelling of 165752970 in words is "one hundred sixty-five million, seven hundred fifty-two thousand, nine hundred seventy".