208964382 has 32 divisors (see below), whose sum is σ = 468249984. Its totient is φ = 61610400.

The previous prime is 208964363. The next prime is 208964383. The reversal of 208964382 is 283469802.

208964382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208964382² = 87332225889283848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208964383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40344 + ... + 45227.

It is an arithmetic number, because the mean of its divisors is an integer number (14632812).

Almost surely, 2^208964382 is an apocalyptic number.

208964382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

208964382 is an abundant number, since it is smaller than the sum of its proper divisors (259285602).

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

208964382 is a wasteful number, since it uses less digits than its factorization.

208964382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85624.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 208964382 is about 14455.6003680235. The cubic root of 208964382 is about 593.4135001584.

The spelling of 208964382 in words is "two hundred eight million, nine hundred sixty-four thousand, three hundred eighty-two".