272961 has 12 divisors (see below), whose sum is σ = 424788. Its totient is φ = 167904.

The previous prime is 272959. The next prime is 272971. The reversal of 272961 is 169272.

It can be written as a sum of positive squares in 2 ways, for example, as 65025 + 207936 = 255^2 + 456^2 .

It is not a de Polignac number, because 272961 - 2¹ = 272959 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272961.

It is not an unprimeable number, because it can be changed into a prime (272911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (35399).

2²⁷²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

272961 is a deficient number, since it is larger than the sum of its proper divisors (151827).

272961 is a wasteful number, since it uses less digits than its factorization.

272961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2349 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 272961 is about 522.4566967702. The cubic root of 272961 is about 64.8684518990.

The spelling of 272961 in words is "two hundred seventy-two thousand, nine hundred sixty-one".