Search a number
-
+
36837431 is a prime number
BaseRepresentation
bin1000110010000…
…1100000110111
32120022112110022
42030201200313
533412244211
63353315355
7625053521
oct214414067
976275408
1036837431
1119880564
1210405b5b
13782a1c7
144c6ca11
153379bdb
hex2321837

36837431 has 2 divisors, whose sum is σ = 36837432. Its totient is φ = 36837430.

The previous prime is 36837413. The next prime is 36837433. The reversal of 36837431 is 13473863.

It is a happy number.

Together with previous prime (36837413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36837431 - 210 = 36836407 is a prime.

It is a super-2 number, since 2×368374312 = 2713992645359522, which contains 22 as substring.

Together with 36837433, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36837391 and 36837400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36837433) 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, 18418715 + 18418716.

It is an arithmetic number, because the mean of its divisors is an integer number (18418716).

Almost surely, 236837431 is an apocalyptic number.

36837431 is a deficient number, since it is larger than the sum of its proper divisors (1).

36837431 is an equidigital number, since it uses as much as digits as its factorization.

36837431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 35.

The square root of 36837431 is about 6069.3847299376. The cubic root of 36837431 is about 332.7334362403.

The spelling of 36837431 in words is "thirty-six million, eight hundred thirty-seven thousand, four hundred thirty-one".