83412 has 36 divisors (see below), whose sum is σ = 241696. Its totient is φ = 23760.

The previous prime is 83407. The next prime is 83417. The reversal of 83412 is 21438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83407) and next prime (83417).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417) 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, 87 + ... + 417.

2⁸³⁴¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120848).

83412 is an abundant number, since it is smaller than the sum of its proper divisors (158284).

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

83412 is a wasteful number, since it uses less digits than its factorization.

83412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 343 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 83412 is about 288.8113571174. The cubic root of 83412 is about 43.6927632468.

The spelling of 83412 in words is "eighty-three thousand, four hundred twelve".