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37252961 is a prime number
BaseRepresentation
bin1000111000011…
…0111101100001
32121002122110022
42032012331201
534014043321
63410243225
7631434134
oct216067541
977078408
1037252961
111a034779
1210586515
137944395
144d3a21b
15340cdab
hex2386f61

37252961 has 2 divisors, whose sum is σ = 37252962. Its totient is φ = 37252960.

The previous prime is 37252951. The next prime is 37252981. The reversal of 37252961 is 16925273.

37252961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34869025 + 2383936 = 5905^2 + 1544^2 .

It is a cyclic number.

It is not a de Polignac number, because 37252961 - 222 = 33058657 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37252951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18626480 + 18626481.

It is an arithmetic number, because the mean of its divisors is an integer number (18626481).

Almost surely, 237252961 is an apocalyptic number.

It is an amenable number.

37252961 is a deficient number, since it is larger than the sum of its proper divisors (1).

37252961 is an equidigital number, since it uses as much as digits as its factorization.

37252961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 35.

The square root of 37252961 is about 6103.5203776181. The cubic root of 37252961 is about 333.9798504583.

The spelling of 37252961 in words is "thirty-seven million, two hundred fifty-two thousand, nine hundred sixty-one".