208831401 has 9 divisors (see below), whose sum is σ = 301707991. Its totient is φ = 139192032.

The previous prime is 208831391. The next prime is 208831453. The reversal of 208831401 is 104138802.

The square root of 208831401 is 14451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19053225 + 189778176 = 4365^2 + 13776^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 208831401 - 2⁵ = 208831369 is a prime.

It is a super-2 number, since 2×208831401² = 87221108087245602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208831471) 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 8 ways as a sum of consecutive naturals, for example, 40945 + ... + 45761.

Almost surely, 2^208831401 is an apocalyptic number.

208831401 is the 14451-st square number.

208831401 is the 7226-th centered octagonal number.

It is an amenable number.

208831401 is a deficient number, since it is larger than the sum of its proper divisors (92876590).

208831401 is an frugal number, since it uses more digits than its factorization.

208831401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 208831401 is about 593.2875943855.

It can be divided in two parts, 2088 and 31401, that added together give a square (33489 = 183²).

The spelling of 208831401 in words is "two hundred eight million, eight hundred thirty-one thousand, four hundred one".