33958053 has 12 divisors (see below), whose sum is σ = 49410348. Its totient is φ = 22472640.

The previous prime is 33958037. The next prime is 33958087. The reversal of 33958053 is 35085933.

It can be written as a sum of positive squares in 2 ways, for example, as 16793604 + 17164449 = 4098^2 + 4143^2 .

It is not a de Polignac number, because 33958053 - 2⁴ = 33958037 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33957999 and 33958017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33958013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12538 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (4117529).

Almost surely, 2^33958053 is an apocalyptic number.

It is an amenable number.

33958053 is a deficient number, since it is larger than the sum of its proper divisors (15452295).

33958053 is a wasteful number, since it uses less digits than its factorization.

33958053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27684 (or 27681 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 33958053 is about 5827.3538591714. The cubic root of 33958053 is about 323.8278978537.

The spelling of 33958053 in words is "thirty-three million, nine hundred fifty-eight thousand, fifty-three".