33949405 has 12 divisors (see below), whose sum is σ = 47390940. Its totient is φ = 23279424.

The previous prime is 33949393. The next prime is 33949417. The reversal of 33949405 is 50494933.

It is an interprime number because it is at equal distance from previous prime (33949393) and next prime (33949417).

It can be written as a sum of positive squares in 2 ways, for example, as 17522596 + 16426809 = 4186^2 + 4053^2 .

It is not a de Polignac number, because 33949405 - 2⁷ = 33949277 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 69040 + ... + 69529.

It is an arithmetic number, because the mean of its divisors is an integer number (3949245).

Almost surely, 2^33949405 is an apocalyptic number.

33949405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33949405 is a deficient number, since it is larger than the sum of its proper divisors (13441535).

33949405 is a wasteful number, since it uses less digits than its factorization.

33949405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138588 (or 138581 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 33949405 is about 5826.6117941734. The cubic root of 33949405 is about 323.8004060791.

The spelling of 33949405 in words is "thirty-three million, nine hundred forty-nine thousand, four hundred five".