36462 has 16 divisors (see below), whose sum is σ = 74880. Its totient is φ = 11832.

The previous prime is 36457. The next prime is 36467. The reversal of 36462 is 26463.

It is an interprime number because it is at equal distance from previous prime (36457) and next prime (36467).

It is a plaindrome in base 13.

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 36462.

It is not an unprimeable number, because it can be changed into a prime (36467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2³⁶⁴⁶² is an apocalyptic number.

36462 is an abundant number, since it is smaller than the sum of its proper divisors (38418).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440).

36462 is a wasteful number, since it uses less digits than its factorization.

36462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 864, while the sum is 21.

The square root of 36462 is about 190.9502553023. The cubic root of 36462 is about 33.1599216382.

Subtracting from 36462 its reverse (26463), we obtain a palindrome (9999).

The spelling of 36462 in words is "thirty-six thousand, four hundred sixty-two".