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10705537 is a prime number
BaseRepresentation
bin101000110101…
…101010000001
3202010220020101
4220311222001
510220034122
61021242401
7156665323
oct50655201
922126211
1010705537
116052257
123703401
1322aaa4b
1415c9613
15e17027
hexa35a81

10705537 has 2 divisors, whose sum is σ = 10705538. Its totient is φ = 10705536.

The previous prime is 10705489. The next prime is 10705549. The reversal of 10705537 is 73550701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5683456 + 5022081 = 2384^2 + 2241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10705537 is a prime.

It is a super-3 number, since 3×107055373 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10705577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5352768 + 5352769.

It is an arithmetic number, because the mean of its divisors is an integer number (5352769).

Almost surely, 210705537 is an apocalyptic number.

It is an amenable number.

10705537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705537 is an equidigital number, since it uses as much as digits as its factorization.

10705537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 10705537 is about 3271.9316924410. The cubic root of 10705537 is about 220.3955487280.

The spelling of 10705537 in words is "ten million, seven hundred five thousand, five hundred thirty-seven".