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131827001 is a prime number
BaseRepresentation
bin1111101101110…
…00010100111001
3100012001111122112
413312320110321
5232221431001
621025302105
73160340165
oct766702471
9305044575
10131827001
116845a639
1238194935
1321408257
1413717ca5
15b88ecbb
hex7db8539

131827001 has 2 divisors, whose sum is σ = 131827002. Its totient is φ = 131827000.

The previous prime is 131826983. The next prime is 131827079. The reversal of 131827001 is 100728131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130074025 + 1752976 = 11405^2 + 1324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131827001 is a prime.

It is not a weakly prime, because it can be changed into another prime (131820001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65913500 + 65913501.

It is an arithmetic number, because the mean of its divisors is an integer number (65913501).

Almost surely, 2131827001 is an apocalyptic number.

It is an amenable number.

131827001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131827001 is an equidigital number, since it uses as much as digits as its factorization.

131827001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 131827001 is about 11481.5940095441. The cubic root of 131827001 is about 508.9418030506.

The spelling of 131827001 in words is "one hundred thirty-one million, eight hundred twenty-seven thousand, one".