262972 has 12 divisors (see below), whose sum is σ = 476280. Its totient is φ = 126896.

The previous prime is 262957. The next prime is 262981. The reversal of 262972 is 279262.

It is a d-powerful number, because it can be written as 2² + 6³ + 9 + 2⁸ + 7³ + 2¹⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 262972.

It is a congruent number.

It is an unprimeable number.

262972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1018 + ... + 1249.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2²⁶²⁹⁷² is an apocalyptic number.

It is an amenable number.

262972 is a deficient number, since it is larger than the sum of its proper divisors (213308).

262972 is a wasteful number, since it uses less digits than its factorization.

262972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2298 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 262972 is about 512.8079562565. The cubic root of 262972 is about 64.0673119923.

Subtracting 262972 from its reverse (279262), we obtain a triangular number (16290 = T₁₈₀).

It can be divided in two parts, 2629 and 72, that added together give a triangular number (2701 = T₇₃).

The spelling of 262972 in words is "two hundred sixty-two thousand, nine hundred seventy-two".