90753 has 12 divisors (see below), whose sum is σ = 131760. Its totient is φ = 55536.

The previous prime is 90749. The next prime is 90787. The reversal of 90753 is 35709.

It is not a de Polignac number, because 90753 - 2² = 90749 is a prime.

It is a super-3 number, since 3×90753³ = 2242354258163331, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90753.

It is not an unprimeable number, because it can be changed into a prime (90703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (10980).

2⁹⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

90753 is a deficient number, since it is larger than the sum of its proper divisors (41007).

90753 is a wasteful number, since it uses less digits than its factorization.

90753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 90753 is about 301.2523858827. The cubic root of 90753 is about 44.9386819166.

It can be divided in two parts, 9075 and 3, that multiplied together give a square (27225 = 165²).

The spelling of 90753 in words is "ninety thousand, seven hundred fifty-three".