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968157 = 32971109
BaseRepresentation
bin11101100010111011101
31211012001200
43230113131
5221440112
632430113
711141421
oct3542735
91735050
10968157
11601433
123a8339
1327b898
141b2b81
15141cdc
hexec5dd

968157 has 12 divisors (see below), whose sum is σ = 1414140. Its totient is φ = 638208.

The previous prime is 968147. The next prime is 968159. The reversal of 968157 is 751869.

It can be written as a sum of positive squares in 2 ways, for example, as 168921 + 799236 = 411^2 + 894^2 .

It is not a de Polignac number, because 968157 - 24 = 968141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (117845).

2968157 is an apocalyptic number.

968157 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

968157 is a deficient number, since it is larger than the sum of its proper divisors (445983).

968157 is a wasteful number, since it uses less digits than its factorization.

968157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 968157 is about 983.9496938360. The cubic root of 968157 is about 98.9270966181.

The spelling of 968157 in words is "nine hundred sixty-eight thousand, one hundred fifty-seven".

Divisors: 1 3 9 97 291 873 1109 3327 9981 107573 322719 968157