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10537957 is a prime number
BaseRepresentation
bin101000001100…
…101111100101
3201211101100201
4220030233211
510144203312
61013510501
7155366623
oct50145745
921741321
1010537957
115a48361
123642431
13224c6a1
141584513
15dd2557
hexa0cbe5

10537957 has 2 divisors, whose sum is σ = 10537958. Its totient is φ = 10537956.

The previous prime is 10537907. The next prime is 10537981. The reversal of 10537957 is 75973501.

It is a happy number.

10537957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10439361 + 98596 = 3231^2 + 314^2 .

It is a cyclic number.

It is not a de Polignac number, because 10537957 - 223 = 2149349 is a prime.

It is a super-2 number, since 2×105379572 = 222097075467698, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10537907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268978 + 5268979.

It is an arithmetic number, because the mean of its divisors is an integer number (5268979).

Almost surely, 210537957 is an apocalyptic number.

It is an amenable number.

10537957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537957 is an equidigital number, since it uses as much as digits as its factorization.

10537957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33075, while the sum is 37.

The square root of 10537957 is about 3246.2219579074. The cubic root of 10537957 is about 219.2395022336.

The spelling of 10537957 in words is "ten million, five hundred thirty-seven thousand, nine hundred fifty-seven".