84953 has 4 divisors (see below), whose sum is σ = 92688. Its totient is φ = 77220.

The previous prime is 84947. The next prime is 84961. The reversal of 84953 is 35948.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 84953 - 2⁸ = 84697 is a prime.

It is a d-powerful number, because it can be written as 8 + 4² + 9⁴ + 5⁷ + 3⁵ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84913) 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, 3851 + ... + 3872.

It is an arithmetic number, because the mean of its divisors is an integer number (23172).

2⁸⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

84953 is a deficient number, since it is larger than the sum of its proper divisors (7735).

84953 is a wasteful number, since it uses less digits than its factorization.

84953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734.

The product of its digits is 4320, while the sum is 29.

The square root of 84953 is about 291.4669792618. The cubic root of 84953 is about 43.9601912669.

The spelling of 84953 in words is "eighty-four thousand, nine hundred fifty-three".