208831925 has 18 divisors (see below), whose sum is σ = 264503718. Its totient is φ = 163500480.

The previous prime is 208831921. The next prime is 208831937. The reversal of 208831925 is 529138802.

208831925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 12439729 + 196392196 = 3527^2 + 14014^2 .

It is not a de Polignac number, because 208831925 - 2² = 208831921 is a prime.

It is a super-2 number, since 2×208831925² = 87221545798411250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208831921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 525827 + ... + 526223.

It is an arithmetic number, because the mean of its divisors is an integer number (14694651).

Almost surely, 2^208831925 is an apocalyptic number.

208831925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208831925 is a deficient number, since it is larger than the sum of its proper divisors (55671793).

208831925 is an frugal number, since it uses more digits than its factorization.

208831925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 208831925 is about 14451.0181302218. The cubic root of 208831925 is about 593.2880906110.

The spelling of 208831925 in words is "two hundred eight million, eight hundred thirty-one thousand, nine hundred twenty-five".