83025 has 30 divisors (see below), whose sum is σ = 157542. Its totient is φ = 43200.

The previous prime is 83023. The next prime is 83047. The reversal of 83025 is 52038.

It can be written as a sum of positive squares in 3 ways, for example, as 81 + 82944 = 9^2 + 288^2 .

It is not a de Polignac number, because 83025 - 2¹ = 83023 is a prime.

83025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 82989 and 83007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83023) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2005 + ... + 2045.

2⁸³⁰²⁵ is an apocalyptic number.

It is an amenable number.

83025 is a deficient number, since it is larger than the sum of its proper divisors (74517).

83025 is a wasteful number, since it uses less digits than its factorization.

83025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 83025 is about 288.1405906845. The cubic root of 83025 is about 43.6250858639.

The spelling of 83025 in words is "eighty-three thousand, twenty-five".