82211745 has 128 divisors (see below), whose sum is σ = 179159040. Its totient is φ = 31150080.

The previous prime is 82211737. The next prime is 82211771. The reversal of 82211745 is 54711228.

It is not a de Polignac number, because 82211745 - 2³ = 82211737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1040616 + ... + 1040694.

It is an arithmetic number, because the mean of its divisors is an integer number (1399680).

Almost surely, 2^82211745 is an apocalyptic number.

82211745 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82211745 is an abundant number, since it is smaller than the sum of its proper divisors (96947295).

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

82211745 is a wasteful number, since it uses less digits than its factorization.

82211745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its digits is 4480, while the sum is 30.

The square root of 82211745 is about 9067.0692618949. The cubic root of 82211745 is about 434.8217792847.

The spelling of 82211745 in words is "eighty-two million, two hundred eleven thousand, seven hundred forty-five".