1751 has 4 divisors (see below), whose sum is σ = 1872. Its totient is φ = 1632.

The previous prime is 1747. The next prime is 1753. The reversal of 1751 is 1571.

1751 = T₅ + T₆ + ... + T₂₁.

1751 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 1751 - 2² = 1747 is a prime.

It is a Duffinian number.

1751 is a modest number, since divided by 51 gives 17 as remainder.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1753) 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, 35 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (468).

2¹⁷⁵¹ is an apocalyptic number.

1751 is a deficient number, since it is larger than the sum of its proper divisors (121).

1751 is a wasteful number, since it uses less digits than its factorization.

1751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120.

The product of its digits is 35, while the sum is 14.

The square root of 1751 is about 41.8449519058. The cubic root of 1751 is about 12.0530062574.

The spelling of 1751 in words is "one thousand, seven hundred fifty-one".