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10521 = 327167
BaseRepresentation
bin10100100011001
3112102200
42210121
5314041
6120413
742450
oct24431
915380
1010521
1179a5
126109
134a34
143b97
1531b6
hex2919

10521 has 12 divisors (see below), whose sum is σ = 17472. Its totient is φ = 5976.

The previous prime is 10513. The next prime is 10529. The reversal of 10521 is 12501.

It is a happy number.

10521 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10513) and next prime (10529).

It is not a de Polignac number, because 10521 - 23 = 10513 is a prime.

It is a super-2 number, since 2×105212 = 221382882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529) 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, 21 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (1456).

10521 is a Friedman number, since it can be written as 501*21, using all its digits and the basic arithmetic operations.

210521 is an apocalyptic number.

It is an amenable number.

10521 is a deficient number, since it is larger than the sum of its proper divisors (6951).

10521 is a wasteful number, since it uses less digits than its factorization.

10521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10521 is about 102.5719259837. The cubic root of 10521 is about 21.9121843751.

The spelling of 10521 in words is "ten thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 63 167 501 1169 1503 3507 10521