362152 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 149184.

The previous prime is 362147. The next prime is 362161. The reversal of 362152 is 251263.

It is a happy number.

It is a super-2 number, since 2×362152² = 262308142208, which contains 22 as substring.

It is an unprimeable number.

362152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1513 + ... + 1735.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2³⁶²¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

362152 is an abundant number, since it is smaller than the sum of its proper divisors (444248).

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

362152 is a wasteful number, since it uses less digits than its factorization.

362152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 362152 is about 601.7906612768. The cubic root of 362152 is about 71.2793333615.

Subtracting from 362152 its reverse (251263), we obtain a square (110889 = 333²).

The spelling of 362152 in words is "three hundred sixty-two thousand, one hundred fifty-two".