40362 has 24 divisors (see below), whose sum is σ = 95328. Its totient is φ = 11160.

The previous prime is 40361. The next prime is 40387. The reversal of 40362 is 26304.

40362 is nontrivially palindromic in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40362.

It is not an unprimeable number, because it can be changed into a prime (40361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (3972).

2⁴⁰³⁶² is an apocalyptic number.

40362 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47664).

40362 is an abundant number, since it is smaller than the sum of its proper divisors (54966).

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

40362 is a wasteful number, since it uses less digits than its factorization.

40362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40362 is about 200.9029616506. The cubic root of 40362 is about 34.3023778126.

Adding to 40362 its reverse (26304), we get a palindrome (66666).

It can be divided in two parts, 403 and 62, that added together give a triangular number (465 = T₃₀).

The spelling of 40362 in words is "forty thousand, three hundred sixty-two".