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8132801 = 41293677
BaseRepresentation
bin11111000001100011000001
3120022012002212
4133001203001
54040222201
6450151505
7126061535
oct37014301
916265085
108132801
114655326
122882595
1318b9a11
141119bc5
15aa9abb
hex7c18c1

8132801 has 8 divisors (see below), whose sum is σ = 8371944. Its totient is φ = 7895680.

The previous prime is 8132759. The next prime is 8132843. The reversal of 8132801 is 1082318.

It is an interprime number because it is at equal distance from previous prime (8132759) and next prime (8132843).

It can be written as a sum of positive squares in 4 ways, for example, as 3701776 + 4431025 = 1924^2 + 2105^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8132801 - 210 = 8131777 is a prime.

It is a super-2 number, since 2×81328012 = 132284904211202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8132101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11675 + ... + 12351.

It is an arithmetic number, because the mean of its divisors is an integer number (1046493).

Almost surely, 28132801 is an apocalyptic number.

It is an amenable number.

8132801 is a deficient number, since it is larger than the sum of its proper divisors (239143).

8132801 is a wasteful number, since it uses less digits than its factorization.

8132801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8132801 is about 2851.8066203724. The cubic root of 8132801 is about 201.1006072088.

The spelling of 8132801 in words is "eight million, one hundred thirty-two thousand, eight hundred one".

Divisors: 1 41 293 677 12013 27757 198361 8132801