32684085 has 96 divisors (see below), whose sum is σ = 70287360. Its totient is φ = 13716864.

The previous prime is 32684083. The next prime is 32684143. The reversal of 32684085 is 58048623.

It is not a de Polignac number, because 32684085 - 2¹ = 32684083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32684083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257292 + ... + 257418.

It is an arithmetic number, because the mean of its divisors is an integer number (732160).

Almost surely, 2^32684085 is an apocalyptic number.

32684085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32684085 is an abundant number, since it is smaller than the sum of its proper divisors (37603275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32684085 is a wasteful number, since it uses less digits than its factorization.

32684085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 32684085 is about 5716.9996501662. Note that the first 3 decimals coincide. The cubic root of 32684085 is about 319.7266056828.

The spelling of 32684085 in words is "thirty-two million, six hundred eighty-four thousand, eighty-five".