83142216 has 24 divisors (see below), whose sum is σ = 225177030. Its totient is φ = 27714048.

The previous prime is 83142211. The next prime is 83142221. The reversal of 83142216 is 61224138.

It is an interprime number because it is at equal distance from previous prime (83142211) and next prime (83142221).

It can be written as a sum of positive squares in only one way, i.e., 64738116 + 18404100 = 8046^2 + 4290^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 83142216.

It is not an unprimeable number, because it can be changed into a prime (83142211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 577305 + ... + 577448.

Almost surely, 2^83142216 is an apocalyptic number.

It is an amenable number.

83142216 is an abundant number, since it is smaller than the sum of its proper divisors (142034814).

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

83142216 is a wasteful number, since it uses less digits than its factorization.

83142216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154765 (or 1154758 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83142216 is about 9118.2353555938. The cubic root of 83142216 is about 436.4560640386.

The spelling of 83142216 in words is "eighty-three million, one hundred forty-two thousand, two hundred sixteen".