82201842 has 18 divisors (see below), whose sum is σ = 178187373. Its totient is φ = 27387792.

The previous prime is 82201841. The next prime is 82201859. The reversal of 82201842 is 24810228.

It can be written as a sum of positive squares in 2 ways, for example, as 58201641 + 24000201 = 7629^2 + 4899^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6411.

It is not an unprimeable number, because it can be changed into a prime (82201841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37398 + ... + 39534.

Almost surely, 2^82201842 is an apocalyptic number.

82201842 is an abundant number, since it is smaller than the sum of its proper divisors (95985531).

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

82201842 is an equidigital number, since it uses as much as digits as its factorization.

82201842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82201842 is about 9066.5231483739. The cubic root of 82201842 is about 434.8043194396.

Multiplying 82201842 by its product of nonzero digits (2048), we get a square (168349372416 = 410304²).

The spelling of 82201842 in words is "eighty-two million, two hundred one thousand, eight hundred forty-two".