35213152 has 48 divisors (see below), whose sum is σ = 76289472. Its totient is φ = 15897600.

The previous prime is 35213111. The next prime is 35213177. The reversal of 35213152 is 25131253.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18652 + ... + 20452.

It is an arithmetic number, because the mean of its divisors is an integer number (1589364).

Almost surely, 2^35213152 is an apocalyptic number.

35213152 is a gapful number since it is divisible by the number (32) 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 35213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38144736).

35213152 is an abundant number, since it is smaller than the sum of its proper divisors (41076320).

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

35213152 is a wasteful number, since it uses less digits than its factorization.

35213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 35213152 is about 5934.0670707366. The cubic root of 35213152 is about 327.7693202538.

The spelling of 35213152 in words is "thirty-five million, two hundred thirteen thousand, one hundred fifty-two".