86953 has 4 divisors (see below), whose sum is σ = 88020. Its totient is φ = 85888.

The previous prime is 86951. The next prime is 86959. The reversal of 86953 is 35968.

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

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 34969 = 228^2 + 187^2 .

It is a cyclic number.

It is not a de Polignac number, because 86953 - 2¹ = 86951 is a prime.

It is a Duffinian number.

86953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (86951) 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, 400 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (22005).

2⁸⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

86953 is a deficient number, since it is larger than the sum of its proper divisors (1067).

86953 is an equidigital number, since it uses as much as digits as its factorization.

86953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066.

The product of its digits is 6480, while the sum is 31.

The square root of 86953 is about 294.8779408501. The cubic root of 86953 is about 44.3024954985.

The spelling of 86953 in words is "eighty-six thousand, nine hundred fifty-three".