161352 has 48 divisors (see below), whose sum is σ = 458640. Its totient is φ = 53136.

The previous prime is 161341. The next prime is 161363. The reversal of 161352 is 253161.

161352 is a `hidden beast` number, since 1 + 613 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (161341) and next prime (161363).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1903 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2¹⁶¹³⁵² is an apocalyptic number.

161352 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 161352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

161352 is an abundant number, since it is smaller than the sum of its proper divisors (297288).

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

161352 is an equidigital number, since it uses as much as digits as its factorization.

161352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 161352 is about 401.6864448796. The cubic root of 161352 is about 54.4408358322.

Subtracting 161352 from its reverse (253161), we obtain a square (91809 = 303²).

The spelling of 161352 in words is "one hundred sixty-one thousand, three hundred fifty-two".