33642085 has 8 divisors (see below), whose sum is σ = 40448376. Its totient is φ = 26861760.

The previous prime is 33642073. The next prime is 33642113. The reversal of 33642085 is 58024633.

It can be written as a sum of positive squares in 4 ways, for example, as 25281 + 33616804 = 159^2 + 5798^2 .

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

It is not a de Polignac number, because 33642085 - 2¹⁷ = 33511013 is a prime.

It is a super-2 number, since 2×33642085² = 2263579766294450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3514 + ... + 8923.

It is an arithmetic number, because the mean of its divisors is an integer number (5056047).

Almost surely, 2^33642085 is an apocalyptic number.

It is an amenable number.

33642085 is a deficient number, since it is larger than the sum of its proper divisors (6806291).

33642085 is a wasteful number, since it uses less digits than its factorization.

33642085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12983.

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 33642085 is about 5800.1797385943. The cubic root of 33642085 is about 322.8203974884.

The spelling of 33642085 in words is "thirty-three million, six hundred forty-two thousand, eighty-five".