12951 has 6 divisors (see below), whose sum is σ = 18720. Its totient is φ = 8628.

The previous prime is 12941. The next prime is 12953. The reversal of 12951 is 15921.

It is not a de Polignac number, because 12951 - 2⁵ = 12919 is a prime.

12951 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 711 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2¹²⁹⁵¹ is an apocalyptic number.

12951 is a deficient number, since it is larger than the sum of its proper divisors (5769).

12951 is a wasteful number, since it uses less digits than its factorization.

12951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1442 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 12951 is about 113.8024604303. The cubic root of 12951 is about 23.4837672717.

Adding to 12951 its product of digits (90), we get a triangular number (13041 = T₁₆₁).

It can be divided in two parts, 1295 and 1, that added together give a 4-th power (1296 = 6⁴).

The spelling of 12951 in words is "twelve thousand, nine hundred fifty-one".