33640029 has 20 divisors (see below), whose sum is σ = 51988860. Its totient is φ = 21651840.

The previous prime is 33640027. The next prime is 33640031. The reversal of 33640029 is 92004633.

It is an interprime number because it is at equal distance from previous prime (33640027) and next prime (33640031).

It can be written as a sum of positive squares in 2 ways, for example, as 6579225 + 27060804 = 2565^2 + 5202^2 .

It is not a de Polignac number, because 33640029 - 2¹ = 33640027 is a prime.

It is a super-2 number, since 2×33640029² = 2263303102241682, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33639984 and 33640011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33640021) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4812 + ... + 9509.

It is an arithmetic number, because the mean of its divisors is an integer number (2599443).

Almost surely, 2^33640029 is an apocalyptic number.

It is an amenable number.

33640029 is a deficient number, since it is larger than the sum of its proper divisors (18348831).

33640029 is a wasteful number, since it uses less digits than its factorization.

33640029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14362 (or 14353 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33640029 is about 5800.0024999995. The cubic root of 33640029 is about 322.8138210801.

The spelling of 33640029 in words is "thirty-three million, six hundred forty thousand, twenty-nine".