362196 has 18 divisors (see below), whose sum is σ = 915642. Its totient is φ = 120720.

The previous prime is 362191. The next prime is 362203. The reversal of 362196 is 691263.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 44100 = 564^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

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 362196.

It is not an unprimeable number, because it can be changed into a prime (362191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4995 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (50869).

2³⁶²¹⁹⁶ is an apocalyptic number.

362196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

362196 is an abundant number, since it is smaller than the sum of its proper divisors (553446).

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

362196 is a wasteful number, since it uses less digits than its factorization.

362196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071 (or 10066 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 362196 is about 601.8272177295. The cubic root of 362196 is about 71.2822199613.

The spelling of 362196 in words is "three hundred sixty-two thousand, one hundred ninety-six".