338891281 has 9 divisors (see below), whose sum is σ = 348133873. Its totient is φ = 329889280.

The previous prime is 338891261. The next prime is 338891309. The reversal of 338891281 is 182198833.

The square root of 338891281 is 18409.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64657681 + 274233600 = 8041^2 + 16560^2 .

It is not a de Polignac number, because 338891281 - 2⁷ = 338891153 is a prime.

It is a super-2 number, since 2×338891281² = 229694600675641922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338891261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 754545 + ... + 754993.

Almost surely, 2^338891281 is an apocalyptic number.

338891281 is the 18409-th square number.

338891281 is the 9205-th centered octagonal number.

It is an amenable number.

338891281 is a deficient number, since it is larger than the sum of its proper divisors (9242592).

338891281 is an frugal number, since it uses more digits than its factorization.

338891281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The cubic root of 338891281 is about 697.1937177812.

Multiplying 338891281 by its product of digits (82944), we get a square (28108998411264 = 5301792²).

The spelling of 338891281 in words is "three hundred thirty-eight million, eight hundred ninety-one thousand, two hundred eighty-one".