35145216 has 120 divisors (see below), whose sum is σ = 105328080. Its totient is φ = 11268096.

The previous prime is 35145181. The next prime is 35145251. The reversal of 35145216 is 61254153.

It is an interprime number because it is at equal distance from previous prime (35145181) and next prime (35145251).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 35145216.

It is a congruent number.

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, 133501 + ... + 133763.

It is an arithmetic number, because the mean of its divisors is an integer number (877734).

Almost surely, 2^35145216 is an apocalyptic number.

35145216 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 35145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52664040).

35145216 is an abundant number, since it is smaller than the sum of its proper divisors (70182864).

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

35145216 is a wasteful number, since it uses less digits than its factorization.

35145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 35145216 is about 5928.3400712172. The cubic root of 35145216 is about 327.5583983812.

Adding to 35145216 its reverse (61254153), we get a palindrome (96399369).

The spelling of 35145216 in words is "thirty-five million, one hundred forty-five thousand, two hundred sixteen".