83011 has 8 divisors (see below), whose sum is σ = 92880. Its totient is φ = 73728.

The previous prime is 83009. The next prime is 83023. The reversal of 83011 is 11038.

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

It is a 13-Lehmer number, since φ(83011) divides (83011-1)¹³.

It is a cyclic number.

It is not a de Polignac number, because 83011 - 2¹ = 83009 is a prime.

It is a super-2 number, since 2×83011² = 13781652242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82982 and 83000.

It is not an unprimeable number, because it can be changed into a prime (83071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (11610).

2⁸³⁰¹¹ is an apocalyptic number.

83011 is a deficient number, since it is larger than the sum of its proper divisors (9869).

83011 is a wasteful number, since it uses less digits than its factorization.

83011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 83011 is about 288.1162959640. The cubic root of 83011 is about 43.6226336486.

Adding to 83011 its reverse (11038), we get a palindrome (94049).

It can be divided in two parts, 830 and 11, that added together give a square (841 = 29²).

The spelling of 83011 in words is "eighty-three thousand, eleven".