84905951 has 16 divisors (see below), whose sum is σ = 95001984. Its totient is φ = 75376224.

The previous prime is 84905917. The next prime is 84905959. The reversal of 84905951 is 15950948.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 84905951 - 2¹⁰ = 84904927 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84905899 and 84905908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84905959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36320 + ... + 38586.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2^84905951 is an apocalyptic number.

84905951 is a deficient number, since it is larger than the sum of its proper divisors (10096033).

84905951 is a wasteful number, since it uses less digits than its factorization.

84905951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390.

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 84905951 is about 9214.4425224752. The cubic root of 84905951 is about 439.5207436703.

It can be divided in two parts, 8490 and 5951, that added together give a palindrome (14441).

The spelling of 84905951 in words is "eighty-four million, nine hundred five thousand, nine hundred fifty-one".