262542 has 48 divisors (see below), whose sum is σ = 656640. Its totient is φ = 69552.

The previous prime is 262541. The next prime is 262543. The reversal of 262542 is 245262.

It is an interprime number because it is at equal distance from previous prime (262541) and next prime (262543).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 262542.

It is not an unprimeable number, because it can be changed into a prime (262541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5563 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2²⁶²⁵⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

262542 is an abundant number, since it is smaller than the sum of its proper divisors (394098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

262542 is a wasteful number, since it uses less digits than its factorization.

262542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 262542 is about 512.3885244617. The cubic root of 262542 is about 64.0323729450.

The spelling of 262542 in words is "two hundred sixty-two thousand, five hundred forty-two".