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BaseRepresentation
bin10100100111101
3112111000
42210331
5314212
6120513
742531
oct24475
915430
1010557
117a28
126139
134a61
143bc1
1531dc
hex293d

10557 has 16 divisors (see below), whose sum is σ = 17280. Its totient is φ = 6336.

The previous prime is 10531. The next prime is 10559. The reversal of 10557 is 75501.

It is a happy number.

It is not a de Polignac number, because 10557 - 27 = 10429 is a prime.

It is a super-2 number, since 2×105572 = 222900498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10559) 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, 448 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

210557 is an apocalyptic number.

10557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10557 is a deficient number, since it is larger than the sum of its proper divisors (6723).

10557 is a wasteful number, since it uses less digits than its factorization.

10557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 10557 is about 102.7472627373. The cubic root of 10557 is about 21.9371484347.

The spelling of 10557 in words is "ten thousand, five hundred fifty-seven".