5951 has 4 divisors (see below), whose sum is σ = 6504. Its totient is φ = 5400.

The previous prime is 5939. The next prime is 5953. The reversal of 5951 is 1595.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5951 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5953) 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, 260 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (1626).

2⁵⁹⁵¹ is an apocalyptic number.

5951 is the 35-th centered decagonal number.

5951 is a deficient number, since it is larger than the sum of its proper divisors (553).

5951 is a wasteful number, since it uses less digits than its factorization.

5951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552.

The product of its digits is 225, while the sum is 20.

The square root of 5951 is about 77.1427248676. The cubic root of 5951 is about 18.1216045958.

Subtracting from 5951 its reverse (1595), we obtain a square (4356 = 66²).

The spelling of 5951 in words is "five thousand, nine hundred fifty-one".