35316 has 30 divisors (see below), whose sum is σ = 93170. Its totient is φ = 11664.

The previous prime is 35311. The next prime is 35317. The reversal of 35316 is 61353.

35316 = 8³ + 9³ + ... + 19³.

35316 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 2916 = 180^2 + 54^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35311) by changing a digit.

35316 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 in 9 ways as a sum of consecutive naturals, for example, 270 + ... + 378.

2³⁵³¹⁶ is an apocalyptic number.

35316 is a gapful number since it is divisible by the number (36) 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 35316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46585).

35316 is an abundant number, since it is smaller than the sum of its proper divisors (57854).

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

35316 is a wasteful number, since it uses less digits than its factorization.

35316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 35316 is about 187.9255171604. The cubic root of 35316 is about 32.8088118304.

Adding to 35316 its reverse (61353), we get a palindrome (96669).

It can be divided in two parts, 35 and 316, that added together give a triangular number (351 = T₂₆).

The spelling of 35316 in words is "thirty-five thousand, three hundred sixteen".