165972114 has 72 divisors (see below), whose sum is σ = 456373008. Its totient is φ = 43107120.

The previous prime is 165972091. The next prime is 165972119. The reversal of 165972114 is 411279561.

It is not an unprimeable number, because it can be changed into a prime (165972119) 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 35 ways as a sum of consecutive naturals, for example, 1149 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (6338514).

Almost surely, 2^165972114 is an apocalyptic number.

165972114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165972114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228186504).

165972114 is an abundant number, since it is smaller than the sum of its proper divisors (290400894).

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

165972114 is a wasteful number, since it uses less digits than its factorization.

165972114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17140 (or 17130 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 165972114 is about 12883.0164945947. The cubic root of 165972114 is about 549.5556896512. Note that the first 3 decimals are identical.

It can be divided in two parts, 165 and 972114, that added together give a palindrome (972279).

The spelling of 165972114 in words is "one hundred sixty-five million, nine hundred seventy-two thousand, one hundred fourteen".