262145 has 16 divisors (see below), whose sum is σ = 351120. Its totient is φ = 186624.

The previous prime is 262139. The next prime is 262147. The reversal of 262145 is 541262.

It is a happy number.

262145 is nontrivially palindromic in base 2, base 4 and base 8.

It is a Cunningham number, because it is equal to 2¹⁸+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1024 + 261121 = 32^2 + 511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-262145 is a prime.

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 262145.

It is not an unprimeable number, because it can be changed into a prime (262147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2351 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (21945).

262145 is a Friedman number, since it can be written as 6-5+4^(2+1)^2, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 1 ⋅ 2¹⁸ + 1 and 1 < 2¹⁸.

2²⁶²¹⁴⁵ is an apocalyptic number.

It is an amenable number.

262145 is a deficient number, since it is larger than the sum of its proper divisors (88975).

262145 is a wasteful number, since it uses less digits than its factorization.

262145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 480, while the sum is 20.

The square root of 262145 is about 512.0009765616. Note that the first 3 decimals coincide. The cubic root of 262145 is about 64.0000813801. Note that the first 4 decimals are identical.

The spelling of 262145 in words is "two hundred sixty-two thousand, one hundred forty-five".