82045188 has 18 divisors (see below), whose sum is σ = 207392094. Its totient is φ = 27348384.

The previous prime is 82045177. The next prime is 82045199. The reversal of 82045188 is 88154028.

It is an interprime number because it is at equal distance from previous prime (82045177) and next prime (82045199).

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 6563844 = 8688^2 + 2562^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2279033 = 82045188 / (8 + 2 + 0 + 4 + 5 + 1 + 8 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1139481 + ... + 1139552.

It is an arithmetic number, because the mean of its divisors is an integer number (11521783).

Almost surely, 2^82045188 is an apocalyptic number.

It is an amenable number.

82045188 is an abundant number, since it is smaller than the sum of its proper divisors (125346906).

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

82045188 is a wasteful number, since it uses less digits than its factorization.

82045188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279043 (or 2279038 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 82045188 is about 9057.8798843880. The cubic root of 82045188 is about 434.5279381616.

The spelling of 82045188 in words is "eighty-two million, forty-five thousand, one hundred eighty-eight".