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61157617 is a prime number
BaseRepresentation
bin1110100101001…
…1000011110001
311021002010110221
43221103003301
5111124020432
610022453041
71341555043
oct351230361
9137063427
1061157617
1131581694
1218594181
13c893b51
14819da93
155580b97
hex3a530f1

61157617 has 2 divisors, whose sum is σ = 61157618. Its totient is φ = 61157616.

The previous prime is 61157587. The next prime is 61157639. The reversal of 61157617 is 71675116.

61157617 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., 48455521 + 12702096 = 6961^2 + 3564^2 .

It is a cyclic number.

It is not a de Polignac number, because 61157617 - 27 = 61157489 is a prime.

It is not a weakly prime, because it can be changed into another prime (61157917) 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, 30578808 + 30578809.

It is an arithmetic number, because the mean of its divisors is an integer number (30578809).

Almost surely, 261157617 is an apocalyptic number.

It is an amenable number.

61157617 is a deficient number, since it is larger than the sum of its proper divisors (1).

61157617 is an equidigital number, since it uses as much as digits as its factorization.

61157617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 34.

The square root of 61157617 is about 7820.3335606610. Note that the first 3 decimals coincide. The cubic root of 61157617 is about 393.9884752742.

The spelling of 61157617 in words is "sixty-one million, one hundred fifty-seven thousand, six hundred seventeen".