33722733 has 16 divisors (see below), whose sum is σ = 49185792. Its totient is φ = 20382000.

The previous prime is 33722719. The next prime is 33722753.

33722733 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33722733 - 2¹² = 33718637 is a prime.

It is a super-2 number, since 2×33722733² = 2274445441978578, 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 33722733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33722753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13038 + ... + 15408.

It is an arithmetic number, because the mean of its divisors is an integer number (3074112).

Almost surely, 2^33722733 is an apocalyptic number.

33722733 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33722733 is a deficient number, since it is larger than the sum of its proper divisors (15463059).

33722733 is a wasteful number, since it uses less digits than its factorization.

33722733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816.

The product of its digits is 15876, while the sum is 30.

The square root of 33722733 is about 5807.1277754153. The cubic root of 33722733 is about 323.0781504707.

It can be divided in two parts, 3372 and 2733, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 33722733 in words is "thirty-three million, seven hundred twenty-two thousand, seven hundred thirty-three".