362112 has 64 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 112640.

The previous prime is 362107. The next prime is 362137. The reversal of 362112 is 211263.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×362112² = 262250201088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 362091 and 362100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362112.

It is an unprimeable number.

362112 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, 8812 + ... + 8852.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2³⁶²¹¹² is an apocalyptic number.

362112 is a gapful number since it is divisible by the number (32) 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 362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

362112 is an abundant number, since it is smaller than the sum of its proper divisors (666048).

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

362112 is a wasteful number, since it uses less digits than its factorization.

362112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 362112 is about 601.7574262109. The cubic root of 362112 is about 71.2767089770.

Adding to 362112 its reverse (211263), we get a palindrome (573375).

It can be divided in two parts, 362 and 112, that added together give a palindrome (474).

The spelling of 362112 in words is "three hundred sixty-two thousand, one hundred twelve".