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32157 = 34397
BaseRepresentation
bin111110110011101
31122010000
413312131
52012112
6404513
7162516
oct76635
948100
1032157
1122184
1216739
1311838
14ba0d
1597dc
hex7d9d

32157 has 10 divisors (see below), whose sum is σ = 48158. Its totient is φ = 21384.

The previous prime is 32143. The next prime is 32159. The reversal of 32157 is 75123.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 2916 = 171^2 + 54^2 .

It is not a de Polignac number, because 32157 - 24 = 32141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32157.

It is not an unprimeable number, because it can be changed into a prime (32159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 118 + ... + 279.

232157 is an apocalyptic number.

It is an amenable number.

32157 is a deficient number, since it is larger than the sum of its proper divisors (16001).

32157 is an equidigital number, since it uses as much as digits as its factorization.

32157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 32157 is about 179.3237296065. The cubic root of 32157 is about 31.7998575999.

It can be divided in two parts, 321 and 57, that added together give a triangular number (378 = T27).

The spelling of 32157 in words is "thirty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 81 397 1191 3573 10719 32157