83212542 has 64 divisors (see below), whose sum is σ = 218649600. Its totient is φ = 22952160.

The previous prime is 83212541. The next prime is 83212543. The reversal of 83212542 is 24521238.

It is an interprime number because it is at equal distance from previous prime (83212541) and next prime (83212543).

It is a super-2 number, since 2×83212542² = 13848654292203528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83212541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167 + ... + 14757.

It is an arithmetic number, because the mean of its divisors is an integer number (3416400).

Almost surely, 2^83212542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83212542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109324800).

83212542 is an abundant number, since it is smaller than the sum of its proper divisors (135437058).

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

83212542 is a wasteful number, since it uses less digits than its factorization.

83212542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7632 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 83212542 is about 9122.0908787405. The cubic root of 83212542 is about 436.5790884196.

The spelling of 83212542 in words is "eighty-three million, two hundred twelve thousand, five hundred forty-two".