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61393 = 29273
BaseRepresentation
bin1110111111010001
310010012211
432333101
53431033
61152121
7343663
oct167721
9103184
1061393
1142142
122b641
1321c37
1418533
15132cd
hexefd1

61393 has 6 divisors (see below), whose sum is σ = 64454. Its totient is φ = 58464.

The previous prime is 61381. The next prime is 61403. The reversal of 61393 is 39316.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 49729 = 108^2 + 223^2 .

It is not a de Polignac number, because 61393 - 213 = 53201 is a prime.

It is a Duffinian number.

61393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (61333) 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 in 5 ways as a sum of consecutive naturals, for example, 805 + ... + 877.

261393 is an apocalyptic number.

It is an amenable number.

61393 is a deficient number, since it is larger than the sum of its proper divisors (3061).

61393 is an equidigital number, since it uses as much as digits as its factorization.

61393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its digits is 486, while the sum is 22.

The square root of 61393 is about 247.7761086142. The cubic root of 61393 is about 39.4493288198.

It can be divided in two parts, 61 and 393, that added together give a palindrome (454).

The spelling of 61393 in words is "sixty-one thousand, three hundred ninety-three".

Divisors: 1 29 73 841 2117 61393