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5957 = 72337
BaseRepresentation
bin1011101000101
322011122
41131011
5142312
643325
723240
oct13505
98148
105957
114526
123545
132933
142257
151b72
hex1745

5957 has 8 divisors (see below), whose sum is σ = 7296. Its totient is φ = 4752.

The previous prime is 5953. The next prime is 5981. The reversal of 5957 is 7595.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5957 - 22 = 5953 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5953) 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 7 ways as a sum of consecutive naturals, for example, 143 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

It is an amenable number.

5957 is a deficient number, since it is larger than the sum of its proper divisors (1339).

5957 is a wasteful number, since it uses less digits than its factorization.

5957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67.

The product of its digits is 1575, while the sum is 26.

The square root of 5957 is about 77.1816040258. The cubic root of 5957 is about 18.1276928223.

The spelling of 5957 in words is "five thousand, nine hundred fifty-seven".

Divisors: 1 7 23 37 161 259 851 5957