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4957 is a prime number
BaseRepresentation
bin1001101011101
320210121
41031131
5124312
634541
720311
oct11535
96717
104957
1137a7
122a51
132344
141b41
151707
hex135d

4957 has 2 divisors, whose sum is σ = 4958. Its totient is φ = 4956.

The previous prime is 4951. The next prime is 4967. The reversal of 4957 is 7594.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4761 + 196 = 69^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 4957 - 211 = 2909 is a prime.

It is a d-powerful number, because it can be written as 46 + 53 + 93 + 7 .

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2478 + 2479.

It is an arithmetic number, because the mean of its divisors is an integer number (2479).

24957 is an apocalyptic number.

It is an amenable number.

4957 is a deficient number, since it is larger than the sum of its proper divisors (1).

4957 is an equidigital number, since it uses as much as digits as its factorization.

4957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 25.

The square root of 4957 is about 70.4059656563. The cubic root of 4957 is about 17.0505989590.

It can be divided in two parts, 4 and 957, that multiplied together give a triangular number (3828 = T87).

The spelling of 4957 in words is "four thousand, nine hundred fifty-seven".