262152 has 48 divisors (see below), whose sum is σ = 776880. Its totient is φ = 79200.

The previous prime is 262151. The next prime is 262153. The reversal of 262152 is 251262.

It is an interprime number because it is at equal distance from previous prime (262151) and next prime (262153).

It is a super-2 number, since 2×262152² = 137447342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (262151) 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 11 ways as a sum of consecutive naturals, for example, 627 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (16185).

262152 is a Friedman number, since it can be written as 512^2+6+2, using all its digits and the basic arithmetic operations.

2²⁶²¹⁵² is an apocalyptic number.

262152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388440).

262152 is an abundant number, since it is smaller than the sum of its proper divisors (514728).

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

262152 is a wasteful number, since it uses less digits than its factorization.

262152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 262152 is about 512.0078124404. The cubic root of 262152 is about 64.0006510350. Note that the first 3 decimals are identical.

It can be divided in two parts, 262 and 152, that added together give a palindrome (414).

The spelling of 262152 in words is "two hundred sixty-two thousand, one hundred fifty-two".