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2973 = 3991
BaseRepresentation
bin101110011101
311002010
4232131
543343
621433
711445
oct5635
94063
102973
112263
121879
131479
141125
15d33
hexb9d

2973 has 4 divisors (see below), whose sum is σ = 3968. Its totient is φ = 1980.

The previous prime is 2971. The next prime is 2999. The reversal of 2973 is 3792.

2973 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2973 - 21 = 2971 is a prime.

It is a d-powerful number, because it can be written as 23 + 72 + 93 + 37 .

It is a D-number.

It is a Duffinian number.

2973 is a lucky number.

It is a plaindrome in base 7, base 13 and base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971) 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, 493 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (992).

22973 is an apocalyptic number.

It is an amenable number.

2973 is a deficient number, since it is larger than the sum of its proper divisors (995).

2973 is an equidigital number, since it uses as much as digits as its factorization.

2973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994.

The product of its digits is 378, while the sum is 21.

The square root of 2973 is about 54.5252235209. The cubic root of 2973 is about 14.3790977606.

It can be divided in two parts, 297 and 3, that added together give a triangular number (300 = T24).

The spelling of 2973 in words is "two thousand, nine hundred seventy-three".

Divisors: 1 3 991 2973