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61601 = 229269
BaseRepresentation
bin1111000010100001
310010111112
433002201
53432401
61153105
7344411
oct170241
9103445
1061601
1142311
122b795
1322067
1418641
15133bb
hexf0a1

61601 has 4 divisors (see below), whose sum is σ = 62100. Its totient is φ = 61104.

The previous prime is 61583. The next prime is 61603. The reversal of 61601 is 10616.

61601 = 1752 + 1762.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 30625 + 30976 = 175^2 + 176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (15525).

261601 is an apocalyptic number.

61601 is the 176-th centered square number.

It is an amenable number.

61601 is a deficient number, since it is larger than the sum of its proper divisors (499).

61601 is a wasteful number, since it uses less digits than its factorization.

61601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 61601 is about 248.1954874691. The cubic root of 61601 is about 39.4938301531.

The spelling of 61601 in words is "sixty-one thousand, six hundred one".

Divisors: 1 229 269 61601