35224 has 32 divisors (see below), whose sum is σ = 82080. Its totient is φ = 13824.

The previous prime is 35221. The next prime is 35227. The reversal of 35224 is 42253.

35224 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (35221) and next prime (35227).

It is a d-powerful number, because it can be written as 3⁷ + 5 + 2³ + 2¹⁵ + 4⁴ .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 35198 and 35207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 934 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2³⁵²²⁴ is an apocalyptic number.

35224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

35224 is the 119-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040).

35224 is an abundant number, since it is smaller than the sum of its proper divisors (46856).

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

35224 is a wasteful number, since it uses less digits than its factorization.

35224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its digits is 240, while the sum is 16.

The square root of 35224 is about 187.6805797092. The cubic root of 35224 is about 32.7802975070.

Adding to 35224 its reverse (42253), we get a palindrome (77477).

It can be divided in two parts, 352 and 24, that multiplied together give a palindrome (8448).

The spelling of 35224 in words is "thirty-five thousand, two hundred twenty-four".