83251 has 6 divisors (see below), whose sum is σ = 96900. Its totient is φ = 71316.

The previous prime is 83243. The next prime is 83257. The reversal of 83251 is 15238.

It is a happy number.

It is not a de Polignac number, because 83251 - 2³ = 83243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83257) 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, 801 + ... + 898.

It is an arithmetic number, because the mean of its divisors is an integer number (16150).

2⁸³²⁵¹ is an apocalyptic number.

83251 is a deficient number, since it is larger than the sum of its proper divisors (13649).

83251 is a wasteful number, since it uses less digits than its factorization.

83251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1706 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 83251 is about 288.5324938373. The cubic root of 83251 is about 43.6646335384.

Adding to 83251 its reverse (15238), we get a palindrome (98489).

The spelling of 83251 in words is "eighty-three thousand, two hundred fifty-one".