83812 has 12 divisors (see below), whose sum is σ = 153216. Its totient is φ = 40040.

The previous prime is 83791. The next prime is 83813. The reversal of 83812 is 21838.

83812 = 49² + 50² + ... + 71².

83812 is nontrivially palindromic in base 12.

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2⁸³⁸¹² is an apocalyptic number.

It is an amenable number.

83812 is a deficient number, since it is larger than the sum of its proper divisors (69404).

83812 is a wasteful number, since it uses less digits than its factorization.

83812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 936 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 83812 is about 289.5030224367. The cubic root of 83812 is about 43.7624943906.

The spelling of 83812 in words is "eighty-three thousand, eight hundred twelve".