161952 has 48 divisors (see below), whose sum is σ = 487872. Its totient is φ = 46080.

The previous prime is 161947. The next prime is 161957. The reversal of 161952 is 259161.

It is an interprime number because it is at equal distance from previous prime (161947) and next prime (161957).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (161957) by changing a digit.

161952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2¹⁶¹⁹⁵² is an apocalyptic number.

161952 is a gapful number since it is divisible by the number (12) 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 161952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936).

161952 is an abundant number, since it is smaller than the sum of its proper divisors (325920).

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

161952 is a wasteful number, since it uses less digits than its factorization.

161952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 161952 is about 402.4326030530. The cubic root of 161952 is about 54.5082331921.

The spelling of 161952 in words is "one hundred sixty-one thousand, nine hundred fifty-two".