83079 has 16 divisors (see below), whose sum is σ = 131040. Its totient is φ = 51840.

The previous prime is 83077. The next prime is 83089. The reversal of 83079 is 97038.

It is a happy number.

It is not a de Polignac number, because 83079 - 2¹ = 83077 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁸³⁰⁷⁹ is an apocalyptic number.

83079 is a deficient number, since it is larger than the sum of its proper divisors (47961).

83079 is a wasteful number, since it uses less digits than its factorization.

83079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 83079 is about 288.2342797101. The cubic root of 83079 is about 43.6345418274.

It can be divided in two parts, 830 and 79, that added together give a palindrome (909).

The spelling of 83079 in words is "eighty-three thousand, seventy-nine".