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957 = 31129
BaseRepresentation
bin1110111101
31022110
432331
512312
64233
72535
oct1675
91273
10957
117a0
12679
13588
144c5
1543c
hex3bd

957 has 8 divisors (see below), whose sum is σ = 1440. Its totient is φ = 560.

The previous prime is 953. The next prime is 967. The reversal of 957 is 759.

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 957 - 22 = 953 is a prime.

957 is a lucky number.

It is a plaindrome in base 12, base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (180).

It is an amenable number.

957 is a deficient number, since it is larger than the sum of its proper divisors (483).

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

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

The sum of its prime factors is 43.

The product of its digits is 315, while the sum is 21.

The square root of 957 is about 30.9354165965. The cubic root of 957 is about 9.8545616910.

It can be divided in two parts, 9 and 57, that added together give a palindrome (66).

The spelling of 957 in words is "nine hundred fifty-seven", and thus it is an aban number and an oban number.

Divisors: 1 3 11 29 33 87 319 957