35152 has 20 divisors (see below), whose sum is σ = 73780. Its totient is φ = 16224.

The previous prime is 35149. The next prime is 35153. The reversal of 35152 is 25153.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 33856 = 36^2 + 184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

Its product of digits (150) is a multiple of the sum of its prime divisors (15).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2698 + ... + 2710.

It is an arithmetic number, because the mean of its divisors is an integer number (3689).

35152 is a Friedman number, since it can be written as 52^3/(5-1), using all its digits and the basic arithmetic operations.

2³⁵¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36890).

35152 is an abundant number, since it is smaller than the sum of its proper divisors (38628).

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

35152 is an equidigital number, since it uses as much as digits as its factorization.

35152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 15 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 35152 is about 187.4886663241. The cubic root of 35152 is about 32.7579472973.

35152 divided by its sum of digits (16) gives a cube (2197 = 13³).

Subtracting from 35152 its reverse (25153), we obtain a palindrome (9999).

The spelling of 35152 in words is "thirty-five thousand, one hundred fifty-two".