Search a number
-
+
36901973 is a prime number
BaseRepresentation
bin1000110011000…
…1010001010101
32120102210222202
42030301101111
533421330343
63354534245
7625442633
oct214612125
976383882
1036901973
1119914aa9
1210437385
1378506b4
144c88353
15338ddb8
hex2331455

36901973 has 2 divisors, whose sum is σ = 36901974. Its totient is φ = 36901972.

The previous prime is 36901967. The next prime is 36901979. The reversal of 36901973 is 37910963.

It is a balanced prime because it is at equal distance from previous prime (36901967) and next prime (36901979).

It can be written as a sum of positive squares in only one way, i.e., 36024004 + 877969 = 6002^2 + 937^2 .

It is a cyclic number.

It is not a de Polignac number, because 36901973 - 210 = 36900949 is a prime.

It is a super-2 number, since 2×369019732 = 2723511222585458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36901979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18450986 + 18450987.

It is an arithmetic number, because the mean of its divisors is an integer number (18450987).

Almost surely, 236901973 is an apocalyptic number.

It is an amenable number.

36901973 is a deficient number, since it is larger than the sum of its proper divisors (1).

36901973 is an equidigital number, since it uses as much as digits as its factorization.

36901973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 36901973 is about 6074.6994164321. The cubic root of 36901973 is about 332.9276476800.

The spelling of 36901973 in words is "thirty-six million, nine hundred one thousand, nine hundred seventy-three".