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43957 = 113389
BaseRepresentation
bin1010101110110101
32020022001
422232311
52401312
6535301
7242104
oct125665
966261
1043957
1130031
1221531
1317014
141203b
15d057
hexabb5

43957 has 4 divisors (see below), whose sum is σ = 44460. Its totient is φ = 43456.

The previous prime is 43951. The next prime is 43961. The reversal of 43957 is 75934.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 75934 = 237967.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 39601 = 66^2 + 199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-43957 is a prime.

It is a pancake number, because a pancake can be divided into 43957 parts by 296 straight cuts.

It is a Duffinian number.

43957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

243957 is an apocalyptic number.

It is an amenable number.

43957 is a deficient number, since it is larger than the sum of its proper divisors (503).

43957 is a wasteful number, since it uses less digits than its factorization.

43957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its digits is 3780, while the sum is 28.

The square root of 43957 is about 209.6592473515. The cubic root of 43957 is about 35.2919792277.

It can be divided in two parts, 439 and 57, that added together give a triangular number (496 = T31).

The spelling of 43957 in words is "forty-three thousand, nine hundred fifty-seven".

Divisors: 1 113 389 43957