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57969 = 3319113
BaseRepresentation
bin1110001001110001
32221112000
432021301
53323334
61124213
7331002
oct161161
987460
1057969
113a60a
1229669
1320502
14171a9
1512299
hexe271

57969 has 16 divisors (see below), whose sum is σ = 91200. Its totient is φ = 36288.

The previous prime is 57947. The next prime is 57973. The reversal of 57969 is 96975.

57969 is nontrivially palindromic in base 8 and base 13.

57969 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57969 - 28 = 57713 is a prime.

It is a super-2 number, since 2×579692 = 6720809922, which contains 22 as substring.

Its product of digits (17010) is a multiple of the sum of its prime divisors (135).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

257969 is an apocalyptic number.

It is an amenable number.

57969 is a deficient number, since it is larger than the sum of its proper divisors (33231).

57969 is a wasteful number, since it uses less digits than its factorization.

57969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 57969 is about 240.7675227268. The cubic root of 57969 is about 38.7018687878.

The spelling of 57969 in words is "fifty-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 27 57 113 171 339 513 1017 2147 3051 6441 19323 57969