62412 has 24 divisors (see below), whose sum is σ = 166656. Its totient is φ = 17808.

The previous prime is 62401. The next prime is 62417. The reversal of 62412 is 21426.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 62391 and 62400.

It is not an unprimeable number, because it can be changed into a prime (62417) 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, 288 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2⁶²⁴¹² is an apocalyptic number.

It is an amenable number.

62412 is an abundant number, since it is smaller than the sum of its proper divisors (104244).

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 (83328).

62412 is a wasteful number, since it uses less digits than its factorization.

62412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 62412 is about 249.8239380043. The cubic root of 62412 is about 39.6663920451. Note that the first 3 decimals are identical.

Adding to 62412 its reverse (21426), we get a palindrome (83838).

It can be divided in two parts, 624 and 12, that added together give a palindrome (636).

The spelling of 62412 in words is "sixty-two thousand, four hundred twelve".