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36097249 is a prime number
BaseRepresentation
bin1000100110110…
…0110011100001
32111220221010011
42021230303201
533220102444
63325404521
7615551536
oct211546341
974827104
1036097249
1119415441
1210109741
13762b326
144b18d8d
153280734
hex226cce1

36097249 has 2 divisors, whose sum is σ = 36097250. Its totient is φ = 36097248.

The previous prime is 36097231. The next prime is 36097267. The reversal of 36097249 is 94279063.

It is a balanced prime because it is at equal distance from previous prime (36097231) and next prime (36097267).

It can be written as a sum of positive squares in only one way, i.e., 26061025 + 10036224 = 5105^2 + 3168^2 .

It is an emirp because it is prime and its reverse (94279063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36097249 - 225 = 2542817 is a prime.

It is a super-2 number, since 2×360972492 = 2606022770736002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36097279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18048624 + 18048625.

It is an arithmetic number, because the mean of its divisors is an integer number (18048625).

Almost surely, 236097249 is an apocalyptic number.

It is an amenable number.

36097249 is a deficient number, since it is larger than the sum of its proper divisors (1).

36097249 is an equidigital number, since it uses as much as digits as its factorization.

36097249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 36097249 is about 6008.0986176993. The cubic root of 36097249 is about 330.4897808268.

The spelling of 36097249 in words is "thirty-six million, ninety-seven thousand, two hundred forty-nine".