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131957 = 722693
BaseRepresentation
bin100000001101110101
320201000022
4200031311
513210312
62454525
71056500
oct401565
9221008
10131957
1190161
1264445
13480a7
1436137
1529172
hex20375

131957 has 6 divisors (see below), whose sum is σ = 153558. Its totient is φ = 113064.

The previous prime is 131947. The next prime is 131959. The reversal of 131957 is 759131.

It can be written as a sum of positive squares in only one way, i.e., 108241 + 23716 = 329^2 + 154^2 .

It is not a de Polignac number, because 131957 - 24 = 131941 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 131957.

It is not an unprimeable number, because it can be changed into a prime (131959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1298 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (25593).

2131957 is an apocalyptic number.

It is an amenable number.

131957 is a deficient number, since it is larger than the sum of its proper divisors (21601).

131957 is an equidigital number, since it uses as much as digits as its factorization.

131957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2700 counting only the distinct ones).

The product of its digits is 945, while the sum is 26.

The square root of 131957 is about 363.2588608692. The cubic root of 131957 is about 50.9109042915.

The spelling of 131957 in words is "one hundred thirty-one thousand, nine hundred fifty-seven".

Divisors: 1 7 49 2693 18851 131957