33026 has 12 divisors (see below), whose sum is σ = 57798. Its totient is φ = 14112.

The previous prime is 33023. The next prime is 33029. The reversal of 33026 is 62033.

It is an interprime number because it is at equal distance from previous prime (33023) and next prime (33029).

It can be written as a sum of positive squares in only one way, i.e., 30625 + 2401 = 175^2 + 49^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a d-powerful number, because it can be written as 3² + 3⁵ + 0 + 2¹⁵ + 6 .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 33026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71 + ... + 266.

2³³⁰²⁶ is an apocalyptic number.

33026 is a deficient number, since it is larger than the sum of its proper divisors (24772).

33026 is a wasteful number, since it uses less digits than its factorization.

33026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 33026 is about 181.7305698005. The cubic root of 33026 is about 32.0837649161.

Adding to 33026 its reverse (62033), we get a palindrome (95059).

The spelling of 33026 in words is "thirty-three thousand, twenty-six".