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2625 = 3537
BaseRepresentation
bin101001000001
310121020
4221001
541000
620053
710440
oct5101
93536
102625
111a77
121629
13126c
14d57
15ba0
hexa41

2625 has 16 divisors (see below), whose sum is σ = 4992. Its totient is φ = 1200.

The previous prime is 2621. The next prime is 2633. The reversal of 2625 is 5262.

Adding to 2625 its reverse (5262), we get a palindrome (7887).

It is not a de Polignac number, because 2625 - 22 = 2621 is a prime.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

Its product of digits (120) is a multiple of the sum of its prime divisors (15).

2625 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 5, base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (312).

It is a Proth number, since it is equal to 41 ⋅ 26 + 1 and 41 < 26.

2625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2625 is the 42-nd pentagonal number.

It is an amenable number.

2625 is a deficient number, since it is larger than the sum of its proper divisors (2367).

2625 is an equidigital number, since it uses as much as digits as its factorization.

2625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 15 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 2625 is about 51.2347538298. The cubic root of 2625 is about 13.7946208819.

The spelling of 2625 in words is "two thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2625