Search a number
-
+
61236757 is a prime number
BaseRepresentation
bin1110100110011…
…0011000010101
311021020011001001
43221212120111
5111134034012
610024303301
71342334551
oct351463025
9137204031
1061236757
113162609a
1218611b31
13c8c0b8a
1481c0861
155599357
hex3a66615

61236757 has 2 divisors, whose sum is σ = 61236758. Its totient is φ = 61236756.

The previous prime is 61236743. The next prime is 61236761. The reversal of 61236757 is 75763216.

61236757 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., 59582961 + 1653796 = 7719^2 + 1286^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61236757 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61236457) 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, 30618378 + 30618379.

It is an arithmetic number, because the mean of its divisors is an integer number (30618379).

Almost surely, 261236757 is an apocalyptic number.

It is an amenable number.

61236757 is a deficient number, since it is larger than the sum of its proper divisors (1).

61236757 is an equidigital number, since it uses as much as digits as its factorization.

61236757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 37.

The square root of 61236757 is about 7825.3918112769. The cubic root of 61236757 is about 394.1583467729.

It can be divided in two parts, 6123 and 6757, that added together give a triangular number (12880 = T160).

The spelling of 61236757 in words is "sixty-one million, two hundred thirty-six thousand, seven hundred fifty-seven".