84951 has 6 divisors (see below), whose sum is σ = 122720. Its totient is φ = 56628.

The previous prime is 84947. The next prime is 84961. The reversal of 84951 is 15948.

It is not a de Polignac number, because 84951 - 2² = 84947 is a prime.

It is a d-powerful number, because it can be written as 8 + 4⁴ + 9⁴ + 5⁷ + 1 .

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84951.

It is not an unprimeable number, because it can be changed into a prime (84961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4711 + ... + 4728.

2⁸⁴⁹⁵¹ is an apocalyptic number.

84951 is a deficient number, since it is larger than the sum of its proper divisors (37769).

84951 is a wasteful number, since it uses less digits than its factorization.

84951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445 (or 9442 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 84951 is about 291.4635483212. The cubic root of 84951 is about 43.9598462876.

It can be divided in two parts, 849 and 51, that added together give a square (900 = 30²).

The spelling of 84951 in words is "eighty-four thousand, nine hundred fifty-one".