338987961 has 36 divisors (see below), whose sum is σ = 551338788. Its totient is φ = 199501632.

The previous prime is 338987951. The next prime is 338987977. The reversal of 338987961 is 169789833.

It can be written as a sum of positive squares in 2 ways, for example, as 230432400 + 108555561 = 15180^2 + 10419^2 .

It is not a de Polignac number, because 338987961 - 2⁶ = 338987897 is a prime.

It is a super-2 number, since 2×338987961² = 229825675405875042, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338987898 and 338987907.

It is not an unprimeable number, because it can be changed into a prime (338987951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59155 + ... + 64631.

Almost surely, 2^338987961 is an apocalyptic number.

It is an amenable number.

338987961 is a deficient number, since it is larger than the sum of its proper divisors (212350827).

338987961 is a wasteful number, since it uses less digits than its factorization.

338987961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5516 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 338987961 is about 18411.6257022567. The cubic root of 338987961 is about 697.2600107032.

The spelling of 338987961 in words is "three hundred thirty-eight million, nine hundred eighty-seven thousand, nine hundred sixty-one".