270963 has 48 divisors (see below), whose sum is σ = 539136. Its totient is φ = 126720.

The previous prime is 270961. The next prime is 270967. The reversal of 270963 is 369072.

270963 = 17² + 18² + ... + 93².

It is not a de Polignac number, because 270963 - 2¹ = 270961 is a prime.

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

270963 is a lucky number.

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270963.

It is not an unprimeable number, because it can be changed into a prime (270961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11770 + ... + 11792.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2²⁷⁰⁹⁶³ is an apocalyptic number.

270963 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

270963 is a deficient number, since it is larger than the sum of its proper divisors (268173).

270963 is a wasteful number, since it uses less digits than its factorization.

270963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 270963 is about 520.5410646625. The cubic root of 270963 is about 64.7097910295.

It can be divided in two parts, 2709 and 63, that added together give a palindrome (2772).

The spelling of 270963 in words is "two hundred seventy thousand, nine hundred sixty-three".