165952 has 14 divisors (see below), whose sum is σ = 329438. Its totient is φ = 82944.

The previous prime is 165947. The next prime is 165961. The reversal of 165952 is 259561.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 18496 = 384^2 + 136^2 .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 165952.

It is an unprimeable number.

165952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1233 + ... + 1360.

2¹⁶⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

165952 is a deficient number, since it is larger than the sum of its proper divisors (163486).

165952 is an equidigital number, since it uses as much as digits as its factorization.

165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2595 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 165952 is about 407.3720658072. The cubic root of 165952 is about 54.9533488713.

It can be divided in two parts, 1659 and 52, that multiplied together give a palindrome (86268).

The spelling of 165952 in words is "one hundred sixty-five thousand, nine hundred fifty-two".