83053 has 6 divisors (see below), whose sum is σ = 87374. Its totient is φ = 78936.

The previous prime is 83047. The next prime is 83059. The reversal of 83053 is 35038.

It is an interprime number because it is at equal distance from previous prime (83047) and next prime (83059).

It can be written as a sum of positive squares in only one way, i.e., 64009 + 19044 = 253^2 + 138^2 .

It is not a de Polignac number, because 83053 - 2¹³ = 74861 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 451 + ... + 607.

2⁸³⁰⁵³ is an apocalyptic number.

It is an amenable number.

83053 is a deficient number, since it is larger than the sum of its proper divisors (4321).

83053 is a wasteful number, since it uses less digits than its factorization.

83053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 83053 is about 288.1891739813. The cubic root of 83053 is about 43.6299894677.

The spelling of 83053 in words is "eighty-three thousand, fifty-three".