247086961 has 9 divisors (see below), whose sum is σ = 271781643. Its totient is φ = 224467320.

The previous prime is 247086941. The next prime is 247086971. The reversal of 247086961 is 169680742.

The square root of 247086961 is 15719.

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., 16654561 + 230432400 = 4081^2 + 15180^2 .

It is not a de Polignac number, because 247086961 - 2⁵ = 247086929 is a prime.

It is a super-2 number, since 2×247086961² = 122103932592431042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247086941) 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, 172195 + ... + 173623.

Almost surely, 2^247086961 is an apocalyptic number.

247086961 is the 15719-th square number.

247086961 is the 7860-th centered octagonal number.

It is an amenable number.

247086961 is a deficient number, since it is larger than the sum of its proper divisors (24694682).

247086961 is an frugal number, since it uses more digits than its factorization.

247086961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 247086961 is about 627.5041600122.

The spelling of 247086961 in words is "two hundred forty-seven million, eighty-six thousand, nine hundred sixty-one".