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57663 = 3243149
BaseRepresentation
bin1110000100111111
32221002200
432010333
53321123
61122543
7330054
oct160477
987080
1057663
113a361
1229453
1320328
141702b
1512143
hexe13f

57663 has 12 divisors (see below), whose sum is σ = 85800. Its totient is φ = 37296.

The previous prime is 57653. The next prime is 57667. The reversal of 57663 is 36675.

It is a de Polignac number, because none of the positive numbers 2k-57663 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (7150).

257663 is an apocalyptic number.

57663 is a deficient number, since it is larger than the sum of its proper divisors (28137).

57663 is a wasteful number, since it uses less digits than its factorization.

57663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 57663 is about 240.1312141309. The cubic root of 57663 is about 38.6336503075.

The spelling of 57663 in words is "fifty-seven thousand, six hundred sixty-three".

Divisors: 1 3 9 43 129 149 387 447 1341 6407 19221 57663