33546241 has 8 divisors (see below), whose sum is σ = 34708968. Its totient is φ = 32400000.

The previous prime is 33546239. The next prime is 33546251. The reversal of 33546241 is 14264533.

33546241 = 4095² + 4096².

It can be written as a sum of positive squares in 4 ways, for example, as 16769025 + 16777216 = 4095^2 + 4096^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(33546241) divides (33546241-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 33546241 - 2¹ = 33546239 is a prime.

It is a super-2 number, since 2×33546241² = 2250700570460162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33546221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 8191.

It is an arithmetic number, because the mean of its divisors is an integer number (4338621).

It is a Proth number, since it is equal to 4095 ⋅ 2¹³ + 1 and 4095 < 2¹³.

Almost surely, 2^33546241 is an apocalyptic number.

33546241 is the 4096-th centered square number.

It is an amenable number.

33546241 is a deficient number, since it is larger than the sum of its proper divisors (1162727).

33546241 is a wasteful number, since it uses less digits than its factorization.

33546241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243.

The product of its digits is 8640, while the sum is 28.

The square root of 33546241 is about 5791.9116878627. The cubic root of 33546241 is about 322.5135414862.

The spelling of 33546241 in words is "thirty-three million, five hundred forty-six thousand, two hundred forty-one".