33713946 has 48 divisors (see below), whose sum is σ = 85273344. Its totient is φ = 9425952.

The previous prime is 33713917. The next prime is 33713963. The reversal of 33713946 is 64931733.

It is a super-2 number, since 2×33713946² = 2273260309781832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33713946.

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 23 ways as a sum of consecutive naturals, for example, 3076 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (1776528).

Almost surely, 2^33713946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33713946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42636672).

33713946 is an abundant number, since it is smaller than the sum of its proper divisors (51559398).

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

33713946 is a wasteful number, since it uses less digits than its factorization.

33713946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5752 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 33713946 is about 5806.3711558942. The cubic root of 33713946 is about 323.0500869651.

The spelling of 33713946 in words is "thirty-three million, seven hundred thirteen thousand, nine hundred forty-six".