35085312 has 154 divisors (see below), whose sum is σ = 107393808. Its totient is φ = 11446272.

The previous prime is 35085283. The next prime is 35085317. The reversal of 35085312 is 21358053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35085317) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746473 + ... + 746519.

Almost surely, 2^35085312 is an apocalyptic number.

35085312 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 35085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53696904).

35085312 is an abundant number, since it is smaller than the sum of its proper divisors (72308496).

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

35085312 is an frugal number, since it uses more digits than its factorization.

35085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

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

The square root of 35085312 is about 5923.2855747465. The cubic root of 35085312 is about 327.3721879519.

The spelling of 35085312 in words is "thirty-five million, eighty-five thousand, three hundred twelve".