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59957 is a prime number
BaseRepresentation
bin1110101000110101
310001020122
432220311
53404312
61141325
7336542
oct165065
9101218
1059957
1141057
122a845
13213a1
1417bc9
1512b72
hexea35

59957 has 2 divisors, whose sum is σ = 59958. Its totient is φ = 59956.

The previous prime is 59951. The next prime is 59971. The reversal of 59957 is 75995.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45796 + 14161 = 214^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 59957 - 214 = 43573 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 5 + 93 + 95 + 53 + 72 .

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 59957.

It is not a weakly prime, because it can be changed into another prime (59951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29978 + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (29979).

259957 is an apocalyptic number.

It is an amenable number.

59957 is a deficient number, since it is larger than the sum of its proper divisors (1).

59957 is an equidigital number, since it uses as much as digits as its factorization.

59957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14175, while the sum is 35.

The square root of 59957 is about 244.8611851642. The cubic root of 59957 is about 39.1393219929.

It can be divided in two parts, 599 and 57, that multiplied together give a palindrome (34143).

The spelling of 59957 in words is "fifty-nine thousand, nine hundred fifty-seven".