4951 has 2 divisors, whose sum is σ = 4952.
Its totient is φ = 4950.
The previous prime is 4943. The next prime is 4957. The reversal of 4951 is 1594.
It can be divided in two parts, 495 and 1, that added together give a triangular number (496 = T31).
4951 is nontrivially palindromic in base 7.
It is a strong prime.
It is a cyclic number.
It is not a de Polignac number, because 4951 - 23 = 4943 is a prime.
It is a d-powerful number, because it can be written as 46 + 53 + 93 + 1 .
It is a pancake number, because a pancake can be divided into 4951 parts by 99 straight cuts.
4951 is a lucky number.
It is a plaindrome in base 13 and base 16.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (4957) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2475 + 2476.
It is an arithmetic number, because the mean of its divisors is an integer number (2476).
24951 is an apocalyptic number.
4951 is the 45-th centered pentagonal number.
4951 is a deficient number, since it is larger than the sum of its proper divisors (1).
4951 is an equidigital number, since it uses as much as digits as its factorization.
4951 is an evil number, because the sum of its binary digits is even.
The product of its digits is 180, while the sum is 19.
The square root of 4951 is about 70.3633427290.
The cubic root of 4951 is about 17.0437167791.
The spelling of 4951 in words is "four thousand, nine hundred fifty-one".