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8082971 = 13312647
BaseRepresentation
bin11110110101011000011011
3120012122202022
4132311120123
54032123341
6445125055
7125463341
oct36653033
916178668
108082971
114620946
12285978b
1318a0130
141105991
15a99e4b
hex7b561b

8082971 has 12 divisors (see below), whose sum is σ = 9008496. Its totient is φ = 7209360.

The previous prime is 8082937. The next prime is 8083001. The reversal of 8082971 is 1792808.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-8082971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8082911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12170 + ... + 12816.

It is an arithmetic number, because the mean of its divisors is an integer number (750708).

Almost surely, 28082971 is an apocalyptic number.

8082971 is a deficient number, since it is larger than the sum of its proper divisors (925525).

8082971 is a wasteful number, since it uses less digits than its factorization.

8082971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 8082971 is about 2843.0566297561. The cubic root of 8082971 is about 200.6890483357.

The spelling of 8082971 in words is "eight million, eighty-two thousand, nine hundred seventy-one".

Divisors: 1 13 31 403 647 961 8411 12493 20057 260741 621767 8082971