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4797 = 321341
BaseRepresentation
bin1001010111101
320120200
41022331
5123142
634113
716662
oct11275
96520
104797
113671
122939
132250
141a69
15164c
hex12bd

4797 has 12 divisors (see below), whose sum is σ = 7644. Its totient is φ = 2880.

The previous prime is 4793. The next prime is 4799. The reversal of 4797 is 7974.

Adding to 4797 its product of digits (1764), we get a 8-th power (6561 = 38).

It can be divided in two parts, 47 and 97, that added together give a square (144 = 122).

It can be written as a sum of positive squares in 2 ways, for example, as 441 + 4356 = 21^2 + 66^2 .

It is not a de Polignac number, because 4797 - 22 = 4793 is a prime.

It is a super-2 number, since 2×47972 = 46022418, which contains 22 as substring.

4797 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

It is an amenable number.

4797 is a deficient number, since it is larger than the sum of its proper divisors (2847).

4797 is a wasteful number, since it uses less digits than its factorization.

4797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 57 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 4797 is about 69.2603782837. The cubic root of 4797 is about 16.8651382709.

The spelling of 4797 in words is "four thousand, seven hundred ninety-seven".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797