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2697 = 32931
BaseRepresentation
bin101010001001
310200220
4222021
541242
620253
710602
oct5211
93626
102697
112032
121689
1312c6
14da9
15bec
hexa89

2697 has 8 divisors (see below), whose sum is σ = 3840. Its totient is φ = 1680.

The previous prime is 2693. The next prime is 2699. The reversal of 2697 is 7962.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2697 - 22 = 2693 is a prime.

Its product of digits (756) is a multiple of the sum of its prime divisors (63).

2697 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 8 and base 14.

It is not an unprimeable number, because it can be changed into a prime (2693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (480).

It is an amenable number.

2697 is a deficient number, since it is larger than the sum of its proper divisors (1143).

2697 is a wasteful number, since it uses less digits than its factorization.

2697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its digits is 756, while the sum is 24.

The square root of 2697 is about 51.9326486904. The cubic root of 2697 is about 13.9196072686.

It can be divided in two parts, 269 and 7, that added together give a triangular number (276 = T23).

The spelling of 2697 in words is "two thousand, six hundred ninety-seven".

Divisors: 1 3 29 31 87 93 899 2697