88953 has 8 divisors (see below), whose sum is σ = 120000. Its totient is φ = 58608.

The previous prime is 88951. The next prime is 88969. The reversal of 88953 is 35988.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 88953 - 2¹ = 88951 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (88951) 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 7 ways as a sum of consecutive naturals, for example, 348 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

2⁸⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

88953 is a deficient number, since it is larger than the sum of its proper divisors (31047).

88953 is a wasteful number, since it uses less digits than its factorization.

88953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its digits is 8640, while the sum is 33.

The square root of 88953 is about 298.2498952221. The cubic root of 88953 is about 44.6395902828.

The spelling of 88953 in words is "eighty-eight thousand, nine hundred fifty-three".